{"id":10947,"date":"2022-12-07T10:43:17","date_gmt":"2022-12-07T10:43:17","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=10947"},"modified":"2023-08-18T10:48:39","modified_gmt":"2023-08-18T10:48:39","slug":"perfect-number-program-in-c","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/perfect-number-program-in-c\/","title":{"rendered":"Perfect Number Program in C"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1670411583185-Perfect%20Number%20Program%20in%20C.jpg\" alt=\"\" \/><\/p>\n<p>In the realm of mathematics, a perfect number is a positive integer that precisely equals the sum of its positive divisors, excluding the number itself.<\/p>\n<p>For instance, the positive integer 6 is evenly divided by the numbers 1, 2, and 3. Although we are aware that the number is also divisible on its own, we will nonetheless add it to the list of divisors. These divisors (1 + 2 + 3 = 6) when added together result in 6, which is the same as the number we have been considering. As a result, 6 is a perfect number.<\/p>\n<h2>What is the Perfect Number?<\/h2>\n<p>The sum of a perfect number&#8217;s appropriate positive divisors, except the number itself, is a positive integer. Here&#8217;s an illustration,<br \/>\nInput: n = 6<br \/>\nProper divisors of 6 are 1, 2, 3<br \/>\nSum of its proper divisors = 1 + 2 + 3 = 6<br \/>\nHence 6 is a perfect number.<\/p>\n<h2>Algorithm to Find Perfect Number<\/h2>\n<ul>\n<li>Request an integer from the user.<\/li>\n<li>To hold the total of the correct positive divisors, initialize another variable with 0.<\/li>\n<li>From 1 through n\/2, go over each integer and see if it is a divisor. Keep track of the total of all divisors. The number will be a perfect number if the total equals n; else, it will not be a perfect number.<\/li>\n<\/ul>\n<h2>Program to Find Perfect Number in C<\/h2>\n<p>There are three ways to find the perfect number in C:<\/p>\n<ul>\n<li>Using for Loop<\/li>\n<li>Using while Loop<\/li>\n<li>Using recursion in C<\/li>\n<\/ul>\n<h3>Method 1: Using for Loop<\/h3>\n<p>In this method, we will write a c program that accepts an integer input from the user and checks whether the given number is a perfect number or not.<\/p>\n\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_10932 {\r\n\toverflow:hidden;\r\n\tdisplay:block;\r\n\twidth:100%;\r\n\tborder:0px solid #ddd;\r\n\tmargin-bottom:30px;\r\n\t}\r\n\r\n#tab_container_10932 .tab-content{\r\n\tpadding:20px;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n\tmargin-top: 0px;\r\n\tbackground-color:#ffffff !important;\r\n\tcolor: #000000 !important;\r\n\tfont-size:16px !important;\r\n\tfont-family: Open Sans !important;\r\n\t\r\n\t\tborder: 1px solid #e6e6e6 !important;\r\n\t}\r\n#tab_container_10932 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_10932 .wpsm_nav-tabs > li.active > a, #tab_container_10932 .wpsm_nav-tabs > li.active > a:hover, #tab_container_10932 .wpsm_nav-tabs > li.active > a:focus {\r\n\tcolor: #000000 !important;\r\n\tcursor: default;\r\n\tbackground-color: #ffffff !important;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n}\r\n\r\n#tab_container_10932 .wpsm_nav-tabs > li > a {\r\n    margin-right: 0px !important; \r\n    line-height: 1.42857143 !important;\r\n    border: 1px solid #d5d5d5 !important;\r\n    border-radius: 0px 0px 0 0 !important; \r\n\tbackground-color: #e8e8e8 !important;\r\n\tcolor: #000000 !important;\r\n\tpadding: 15px 18px 15px 18px !important;\r\n\ttext-decoration: none !important;\r\n\tfont-size: 14px !important;\r\n\ttext-align:center !important;\r\n\tfont-family: Open Sans !important;\r\n}\r\n#tab_container_10932 .wpsm_nav-tabs > li > a:focus {\r\noutline: 0px !important;\r\n}\r\n\r\n#tab_container_10932 .wpsm_nav-tabs > li > a:before {\r\n\tdisplay:none !important;\r\n}\r\n#tab_container_10932 .wpsm_nav-tabs > li > a:after {\r\n\tdisplay:none !important ;\r\n}\r\n#tab_container_10932 .wpsm_nav-tabs > li{\r\npadding:0px !important ;\r\nmargin:0px;\r\n}\r\n\r\n#tab_container_10932 .wpsm_nav-tabs > li > a:hover , #tab_container_10932 .wpsm_nav-tabs > li > a:focus {\r\n    color: #000000 !important;\r\n    background-color: #e8e8e8 !important;\r\n\tborder: 1px solid #d5d5d5 !important;\r\n\t\r\n}\r\n#tab_container_10932 .wpsm_nav-tabs > li > a .fa{\r\n\r\nmargin-right:5px !important;\r\n\r\nmargin-left:5px !important;\r\n\r\n\r\n}\r\n\r\n\t\t#tab_container_10932 .wpsm_nav-tabs a{\r\n\t\t\tbackground-image: none;\r\n\t\t\tbackground-position: 0 0;\r\n\t\t\tbackground-repeat: repeat-x;\r\n\t\t}\r\n\t\t\t\r\n\r\n\r\n#tab_container_10932 .wpsm_nav-tabs > li {\r\n    float: left;\r\n    margin-bottom: -1px !important;\r\n\tmargin-right:0px !important; \r\n}\r\n\r\n\r\n#tab_container_10932 .tab-content{\r\noverflow:hidden !important;\r\n}\r\n\r\n\r\n@media (min-width: 769px) {\r\n\r\n\t#tab_container_10932 .wpsm_nav-tabs > li{\r\n\t\tfloat:left !important ;\r\n\t\t\t\tmargin-right:-1px !important;\r\n\t\t\t\t\t}\r\n\t#tab_container_10932 .wpsm_nav-tabs{\r\n\t\tfloat:none !important;\r\n\t\tmargin:0px !important;\r\n\t}\r\n\r\n\t#tab_container_10932 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10932 .wpsm_nav{\r\n\t\t\t}\r\n\r\n}\r\n\r\n\r\n\r\n@media (max-width: 768px) {\r\n\t#tab_container_10932 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10932 .wpsm_nav{\r\n\t\t\t}\r\n}\r\n\r\n\r\n\t.wpsm_nav-tabs li:before{\r\n\t\tdisplay:none !important;\r\n\t}\r\n\r\n\t@media (max-width: 768px) {\r\n\t\t\t\t\r\n\t\t\t\t.wpsm_nav-tabs{\r\n\t\t\tmargin-left:0px !important;\r\n\t\t\tmargin-right:0px !important; \r\n\t\t\t\r\n\t\t}\r\n\t\t\t\t#tab_container_10932 .wpsm_nav-tabs > li{\r\n\t\t\tfloat:none !important;\r\n\t\t}\r\n\t\t\t\r\n\t}\t\t\t\t<\/style>\r\n\t\t\t\t<div id=\"tab_container_10932\" >\r\n\t \r\n\t\t\t\t\t<ul class=\"wpsm_nav wpsm_nav-tabs\" role=\"tablist\" id=\"myTab_10932\">\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t<li role=\"presentation\"  class=\"active\"  onclick=\"do_resize()\">\r\n\t\t\t\t\t\t\t\t<a href=\"#tabs_desc_10932_1\" aria-controls=\"tabs_desc_10932_1\" role=\"tab\" data-toggle=\"tab\">\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<i class=\"fa fa-code\"><\/i> \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t<span>C<\/span>\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t<\/a>\r\n\t\t\t\t\t\t\t<\/li>\r\n\t\t\t\t\t\t\t\t\t\t\t <\/ul>\r\n\r\n\t\t\t\t\t  <!-- Tab panes -->\r\n\t\t\t\t\t  <div class=\"tab-content\" id=\"tab-content_10932\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t <div role=\"tabpanel\" class=\"tab-pane  in active \" id=\"tabs_desc_10932_1\">\r\n\t\t\t\t\t\t\t\t<!-- wp:enlighter\/codeblock {\"language\":\"c\"} -->\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"c\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\r\n#include &lt;stdio.h&gt;\r\nint main ()\r\n{\r\n    int num = 28, sum = 0;\r\n    \/\/ iteratively check for all numbers in range [1, 27]\r\n    for(int i = 1; i &lt; num; i++){\r\n        \/\/ check if i is a divisor, if yes then add to sum\r\n        if(num % i == 0)\r\n            sum = sum + i;\r\n    }    \r\n    if(sum == num)\r\n        printf(&quot;%d is a perfect number&quot;,num);\r\n    else\r\n        printf(&quot;%d is not a perfect number&quot;,num);\r\n}\r\n<\/pre>\r\n<!-- \/wp:enlighter\/codeblock -->\t\t\t\t\t\t <\/div>\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t <\/div>\r\n\t\t\t\t\t \r\n\t\t\t\t <\/div>\r\n <script>\r\n\t\tjQuery(function () {\r\n\t\t\tjQuery('#myTab_10932 a:first').tab('show')\r\n\t\t});\r\n\t\t\r\n\t\t\t\tjQuery(function(){\r\n\t\t\tvar b=\"fadeIn\";\r\n\t\t\tvar c;\r\n\t\t\tvar a;\r\n\t\t\td(jQuery(\"#myTab_10932 a\"),jQuery(\"#tab-content_10932\"));function d(e,f,g){\r\n\t\t\t\te.click(function(i){\r\n\t\t\t\t\ti.preventDefault();\r\n\t\t\t\t\tjQuery(this).tab(\"show\");\r\n\t\t\t\t\tvar h=jQuery(this).data(\"easein\");\r\n\t\t\t\t\tif(c){c.removeClass(a);}\r\n\t\t\t\t\tif(h){f.find(\"div.active\").addClass(\"animated \"+h);a=h;}\r\n\t\t\t\t\telse{if(g){f.find(\"div.active\").addClass(\"animated \"+g);a=g;}else{f.find(\"div.active\").addClass(\"animated \"+b);a=b;}}c=f.find(\"div.active\");\r\n\t\t\t\t});\r\n\t\t\t}\r\n\t\t});\r\n\t\t\r\n\r\n\t\tfunction do_resize(){\r\n\r\n\t\t\tvar width=jQuery( '.tab-content .tab-pane iframe' ).width();\r\n\t\t\tvar height=jQuery( '.tab-content .tab-pane iframe' ).height();\r\n\r\n\t\t\tvar toggleSize = true;\r\n\t\t\tjQuery('iframe').animate({\r\n\t\t\t    width: toggleSize ? width : 640,\r\n\t\t\t    height: toggleSize ? height : 360\r\n\t\t\t  }, 250);\r\n\r\n\t\t\t  toggleSize = !toggleSize;\r\n\t\t}\r\n\r\n\r\n\t<\/script>\r\n\t\t\t\t\r\n\t\t\t\n<p><strong>Explanation:<\/strong> In the given example, Every value of i is used to run the loop. If the computed remainder equals 0, the total is equal to the sum plus j. A condition outside of the loop determines if the total is equal to the number, and if it is, the print statement is executed.<\/p>\n<h3>Method 2: Using a while loop<\/h3>\n<p>In this method, we will use a while loop to check whether the given number is a perfect number or not.<\/p>\n\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_10933 {\r\n\toverflow:hidden;\r\n\tdisplay:block;\r\n\twidth:100%;\r\n\tborder:0px solid #ddd;\r\n\tmargin-bottom:30px;\r\n\t}\r\n\r\n#tab_container_10933 .tab-content{\r\n\tpadding:20px;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n\tmargin-top: 0px;\r\n\tbackground-color:#ffffff !important;\r\n\tcolor: #000000 !important;\r\n\tfont-size:16px !important;\r\n\tfont-family: Open Sans !important;\r\n\t\r\n\t\tborder: 1px solid #e6e6e6 !important;\r\n\t}\r\n#tab_container_10933 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_10933 .wpsm_nav-tabs > li.active > a, #tab_container_10933 .wpsm_nav-tabs > li.active > a:hover, #tab_container_10933 .wpsm_nav-tabs > li.active > a:focus {\r\n\tcolor: #000000 !important;\r\n\tcursor: default;\r\n\tbackground-color: #ffffff !important;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n}\r\n\r\n#tab_container_10933 .wpsm_nav-tabs > li > a {\r\n    margin-right: 0px !important; \r\n    line-height: 1.42857143 !important;\r\n    border: 1px solid #d5d5d5 !important;\r\n    border-radius: 0px 0px 0 0 !important; \r\n\tbackground-color: #e8e8e8 !important;\r\n\tcolor: #000000 !important;\r\n\tpadding: 15px 18px 15px 18px !important;\r\n\ttext-decoration: none !important;\r\n\tfont-size: 14px !important;\r\n\ttext-align:center !important;\r\n\tfont-family: Open Sans !important;\r\n}\r\n#tab_container_10933 .wpsm_nav-tabs > li > a:focus {\r\noutline: 0px !important;\r\n}\r\n\r\n#tab_container_10933 .wpsm_nav-tabs > li > a:before {\r\n\tdisplay:none !important;\r\n}\r\n#tab_container_10933 .wpsm_nav-tabs > li > a:after {\r\n\tdisplay:none !important ;\r\n}\r\n#tab_container_10933 .wpsm_nav-tabs > li{\r\npadding:0px !important ;\r\nmargin:0px;\r\n}\r\n\r\n#tab_container_10933 .wpsm_nav-tabs > li > a:hover , #tab_container_10933 .wpsm_nav-tabs > li > a:focus {\r\n    color: #000000 !important;\r\n    background-color: #e8e8e8 !important;\r\n\tborder: 1px solid #d5d5d5 !important;\r\n\t\r\n}\r\n#tab_container_10933 .wpsm_nav-tabs > li > a .fa{\r\n\r\nmargin-right:5px !important;\r\n\r\nmargin-left:5px !important;\r\n\r\n\r\n}\r\n\r\n\t\t#tab_container_10933 .wpsm_nav-tabs a{\r\n\t\t\tbackground-image: none;\r\n\t\t\tbackground-position: 0 0;\r\n\t\t\tbackground-repeat: repeat-x;\r\n\t\t}\r\n\t\t\t\r\n\r\n\r\n#tab_container_10933 .wpsm_nav-tabs > li {\r\n    float: left;\r\n    margin-bottom: -1px !important;\r\n\tmargin-right:0px !important; \r\n}\r\n\r\n\r\n#tab_container_10933 .tab-content{\r\noverflow:hidden !important;\r\n}\r\n\r\n\r\n@media (min-width: 769px) {\r\n\r\n\t#tab_container_10933 .wpsm_nav-tabs > li{\r\n\t\tfloat:left !important ;\r\n\t\t\t\tmargin-right:-1px !important;\r\n\t\t\t\t\t}\r\n\t#tab_container_10933 .wpsm_nav-tabs{\r\n\t\tfloat:none !important;\r\n\t\tmargin:0px !important;\r\n\t}\r\n\r\n\t#tab_container_10933 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10933 .wpsm_nav{\r\n\t\t\t}\r\n\r\n}\r\n\r\n\r\n\r\n@media (max-width: 768px) {\r\n\t#tab_container_10933 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10933 .wpsm_nav{\r\n\t\t\t}\r\n}\r\n\r\n\r\n\t.wpsm_nav-tabs li:before{\r\n\t\tdisplay:none !important;\r\n\t}\r\n\r\n\t@media (max-width: 768px) {\r\n\t\t\t\t\r\n\t\t\t\t.wpsm_nav-tabs{\r\n\t\t\tmargin-left:0px !important;\r\n\t\t\tmargin-right:0px !important; \r\n\t\t\t\r\n\t\t}\r\n\t\t\t\t#tab_container_10933 .wpsm_nav-tabs > li{\r\n\t\t\tfloat:none !important;\r\n\t\t}\r\n\t\t\t\r\n\t}\t\t\t\t<\/style>\r\n\t\t\t\t<div id=\"tab_container_10933\" >\r\n\t \r\n\t\t\t\t\t<ul class=\"wpsm_nav wpsm_nav-tabs\" role=\"tablist\" id=\"myTab_10933\">\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t<li role=\"presentation\"  class=\"active\"  onclick=\"do_resize()\">\r\n\t\t\t\t\t\t\t\t<a href=\"#tabs_desc_10933_1\" aria-controls=\"tabs_desc_10933_1\" role=\"tab\" data-toggle=\"tab\">\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<i class=\"fa fa-code\"><\/i> \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t<span>C<\/span>\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t<\/a>\r\n\t\t\t\t\t\t\t<\/li>\r\n\t\t\t\t\t\t\t\t\t\t\t <\/ul>\r\n\r\n\t\t\t\t\t  <!-- Tab panes -->\r\n\t\t\t\t\t  <div class=\"tab-content\" id=\"tab-content_10933\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t <div role=\"tabpanel\" class=\"tab-pane  in active \" id=\"tabs_desc_10933_1\">\r\n\t\t\t\t\t\t\t\t<!-- wp:enlighter\/codeblock {\"language\":\"c\"} -->\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"c\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\r\n#include &lt;stdio.h&gt;\r\nint main ()\r\n{\r\n    int num = 28, sum = 0, i = 1;    \r\n    \/\/ iteratively check for all numbers if they are divisors\r\n    while(i &lt; num)  \r\n    {\r\n        \/\/ check if i is a divisor, if yes then add to sum\r\n        if(num % i == 0)  \r\n            sum = sum + i;  \r\n        i++;  \r\n    }    \r\n    if(sum == num)\r\n        printf(&quot;%d is a perfect number&quot;,num);\r\n    else\r\n        printf(&quot;%d is not a perfect number&quot;,num);\r\n}\r\n<\/pre>\r\n<!-- \/wp:enlighter\/codeblock -->\t\t\t\t\t\t <\/div>\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t <\/div>\r\n\t\t\t\t\t \r\n\t\t\t\t <\/div>\r\n <script>\r\n\t\tjQuery(function () {\r\n\t\t\tjQuery('#myTab_10933 a:first').tab('show')\r\n\t\t});\r\n\t\t\r\n\t\t\t\tjQuery(function(){\r\n\t\t\tvar b=\"fadeIn\";\r\n\t\t\tvar c;\r\n\t\t\tvar a;\r\n\t\t\td(jQuery(\"#myTab_10933 a\"),jQuery(\"#tab-content_10933\"));function d(e,f,g){\r\n\t\t\t\te.click(function(i){\r\n\t\t\t\t\ti.preventDefault();\r\n\t\t\t\t\tjQuery(this).tab(\"show\");\r\n\t\t\t\t\tvar h=jQuery(this).data(\"easein\");\r\n\t\t\t\t\tif(c){c.removeClass(a);}\r\n\t\t\t\t\tif(h){f.find(\"div.active\").addClass(\"animated \"+h);a=h;}\r\n\t\t\t\t\telse{if(g){f.find(\"div.active\").addClass(\"animated \"+g);a=g;}else{f.find(\"div.active\").addClass(\"animated \"+b);a=b;}}c=f.find(\"div.active\");\r\n\t\t\t\t});\r\n\t\t\t}\r\n\t\t});\r\n\t\t\r\n\r\n\t\tfunction do_resize(){\r\n\r\n\t\t\tvar width=jQuery( '.tab-content .tab-pane iframe' ).width();\r\n\t\t\tvar height=jQuery( '.tab-content .tab-pane iframe' ).height();\r\n\r\n\t\t\tvar toggleSize = true;\r\n\t\t\tjQuery('iframe').animate({\r\n\t\t\t    width: toggleSize ? width : 640,\r\n\t\t\t    height: toggleSize ? height : 360\r\n\t\t\t  }, 250);\r\n\r\n\t\t\t  toggleSize = !toggleSize;\r\n\t\t}\r\n\r\n\r\n\t<\/script>\r\n\t\t\t\t\r\n\t\t\t\n<p><strong>Explanation:<\/strong> In the given example, Every value of i is iterated via the while loop. A total is determined. A condition outside of the loop determines if the total is equal to the number, and if it is, the print statement is executed.<\/p>\n<h3>Method 3: Using recursion<\/h3>\n<p>In this method, we will use a recursive method to check whether the given number is a perfect number or not.<\/p>\n\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_10934 {\r\n\toverflow:hidden;\r\n\tdisplay:block;\r\n\twidth:100%;\r\n\tborder:0px solid #ddd;\r\n\tmargin-bottom:30px;\r\n\t}\r\n\r\n#tab_container_10934 .tab-content{\r\n\tpadding:20px;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n\tmargin-top: 0px;\r\n\tbackground-color:#ffffff !important;\r\n\tcolor: #000000 !important;\r\n\tfont-size:16px !important;\r\n\tfont-family: Open Sans !important;\r\n\t\r\n\t\tborder: 1px solid #e6e6e6 !important;\r\n\t}\r\n#tab_container_10934 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_10934 .wpsm_nav-tabs > li.active > a, #tab_container_10934 .wpsm_nav-tabs > li.active > a:hover, #tab_container_10934 .wpsm_nav-tabs > li.active > a:focus {\r\n\tcolor: #000000 !important;\r\n\tcursor: default;\r\n\tbackground-color: #ffffff !important;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n}\r\n\r\n#tab_container_10934 .wpsm_nav-tabs > li > a {\r\n    margin-right: 0px !important; 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\r\n}\r\n\r\n\r\n#tab_container_10934 .tab-content{\r\noverflow:hidden !important;\r\n}\r\n\r\n\r\n@media (min-width: 769px) {\r\n\r\n\t#tab_container_10934 .wpsm_nav-tabs > li{\r\n\t\tfloat:left !important ;\r\n\t\t\t\tmargin-right:-1px !important;\r\n\t\t\t\t\t}\r\n\t#tab_container_10934 .wpsm_nav-tabs{\r\n\t\tfloat:none !important;\r\n\t\tmargin:0px !important;\r\n\t}\r\n\r\n\t#tab_container_10934 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10934 .wpsm_nav{\r\n\t\t\t}\r\n\r\n}\r\n\r\n\r\n\r\n@media (max-width: 768px) {\r\n\t#tab_container_10934 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10934 .wpsm_nav{\r\n\t\t\t}\r\n}\r\n\r\n\r\n\t.wpsm_nav-tabs li:before{\r\n\t\tdisplay:none !important;\r\n\t}\r\n\r\n\t@media (max-width: 768px) {\r\n\t\t\t\t\r\n\t\t\t\t.wpsm_nav-tabs{\r\n\t\t\tmargin-left:0px !important;\r\n\t\t\tmargin-right:0px !important; \r\n\t\t\t\r\n\t\t}\r\n\t\t\t\t#tab_container_10934 .wpsm_nav-tabs > li{\r\n\t\t\tfloat:none !important;\r\n\t\t}\r\n\t\t\t\r\n\t}\t\t\t\t<\/style>\r\n\t\t\t\t<div id=\"tab_container_10934\" >\r\n\t \r\n\t\t\t\t\t<ul class=\"wpsm_nav wpsm_nav-tabs\" role=\"tablist\" id=\"myTab_10934\">\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t<li role=\"presentation\"  class=\"active\"  onclick=\"do_resize()\">\r\n\t\t\t\t\t\t\t\t<a href=\"#tabs_desc_10934_1\" aria-controls=\"tabs_desc_10934_1\" role=\"tab\" data-toggle=\"tab\">\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<i class=\"fa fa-code\"><\/i> \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t<span>C<\/span>\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t<\/a>\r\n\t\t\t\t\t\t\t<\/li>\r\n\t\t\t\t\t\t\t\t\t\t\t <\/ul>\r\n\r\n\t\t\t\t\t  <!-- Tab panes -->\r\n\t\t\t\t\t  <div class=\"tab-content\" id=\"tab-content_10934\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t <div role=\"tabpanel\" class=\"tab-pane  in active \" id=\"tabs_desc_10934_1\">\r\n\t\t\t\t\t\t\t\t<!-- wp:enlighter\/codeblock {\"language\":\"c\"} -->\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"c\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\r\n#include &lt;stdio.h&gt;\r\nstatic int sum = 0;\r\nint getSumDivisors(long num, int i)\r\n{\r\n    \/\/ since, all factors can be found will num\/2\r\n    \/\/ we will only check in this range\r\n    if(i &lt;= num\/2)\r\n    {\r\n        if(num % i ==0)\r\n            sum = sum + i;\r\n        i++;\r\n        \/\/ recursively call isPerfect\r\n        getSumDivisors(num, i);\r\n    }\r\n    \/\/returns the sum\r\n    \/\/ when i becomes &gt; num\/2\r\n    return sum;\r\n}\r\nint main ()\r\n{\r\n    int num = 28;    \r\n    if(getSumDivisors(num, 1) == num)\r\n        printf(&quot;%d is a perfect number&quot;,num);\r\n    else\r\n        printf(&quot;%d is not a perfect number&quot;,num);    \r\n    return 0;\r\n}\r\n<\/pre>\r\n<!-- \/wp:enlighter\/codeblock -->\t\t\t\t\t\t <\/div>\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t <\/div>\r\n\t\t\t\t\t \r\n\t\t\t\t <\/div>\r\n <script>\r\n\t\tjQuery(function () {\r\n\t\t\tjQuery('#myTab_10934 a:first').tab('show')\r\n\t\t});\r\n\t\t\r\n\t\t\t\tjQuery(function(){\r\n\t\t\tvar b=\"fadeIn\";\r\n\t\t\tvar c;\r\n\t\t\tvar a;\r\n\t\t\td(jQuery(\"#myTab_10934 a\"),jQuery(\"#tab-content_10934\"));function d(e,f,g){\r\n\t\t\t\te.click(function(i){\r\n\t\t\t\t\ti.preventDefault();\r\n\t\t\t\t\tjQuery(this).tab(\"show\");\r\n\t\t\t\t\tvar h=jQuery(this).data(\"easein\");\r\n\t\t\t\t\tif(c){c.removeClass(a);}\r\n\t\t\t\t\tif(h){f.find(\"div.active\").addClass(\"animated \"+h);a=h;}\r\n\t\t\t\t\telse{if(g){f.find(\"div.active\").addClass(\"animated \"+g);a=g;}else{f.find(\"div.active\").addClass(\"animated \"+b);a=b;}}c=f.find(\"div.active\");\r\n\t\t\t\t});\r\n\t\t\t}\r\n\t\t});\r\n\t\t\r\n\r\n\t\tfunction do_resize(){\r\n\r\n\t\t\tvar width=jQuery( '.tab-content .tab-pane iframe' ).width();\r\n\t\t\tvar height=jQuery( '.tab-content .tab-pane iframe' ).height();\r\n\r\n\t\t\tvar toggleSize = true;\r\n\t\t\tjQuery('iframe').animate({\r\n\t\t\t    width: toggleSize ? width : 640,\r\n\t\t\t    height: toggleSize ? height : 360\r\n\t\t\t  }, 250);\r\n\r\n\t\t\t  toggleSize = !toggleSize;\r\n\t\t}\r\n\r\n\r\n\t<\/script>\r\n\t\t\t\t\r\n\t\t\t\n<p><strong>Explanation:<\/strong> In the given example, the function, PerfectNum does the calculation and returns the sum. Out of the loop, there is a condition that checks whether or not the sum is equal to the number, and accordingly, the print statement is executed.<\/p>\n<p><strong>Conclusion<\/strong><br \/>\nIn summary, the implementation of a perfect number program in C offers a practical illustration of number properties and algorithmic thinking. This program empowers users to input an integer and efficiently ascertain whether the entered number is a perfect number or not. By applying basic mathematical concepts and programming logic, the program contributes to a deeper understanding of number theory and coding practices in C.<\/p>\n<h2>Frequently Asked Questions (FAQs) related to the perfect number program in C:<\/h2>\n<p><strong>1. What is a perfect number, and why is it important to identify them? <\/strong><br \/>\nA perfect number is a positive integer that equals the sum of its proper divisors. Identifying perfect numbers is important for studying number theory and can have applications in areas like cryptography and optimization algorithms.<\/p>\n<p><strong>2. How does the C program determine if a given number is perfect?<\/strong><br \/>\nThe program calculates the sum of the proper divisors of the input number and checks if it equals the original number. If the sum matches, the number is considered perfect.<\/p>\n<p><strong>3. What are proper divisors of a number?<\/strong><br \/>\nProper divisors of a number are the positive divisors excluding the number itself. For example, the proper divisors of 28 are 1, 2, 4, 7, and 14.<\/p>\n<p><strong>4. Are there any limitations to this program?<\/strong><br \/>\nThe program might have limitations in handling very large numbers due to memory and performance constraints. Additionally, it only identifies perfect numbers and doesn&#8217;t classify them further (e.g., abundant or deficient numbers).<\/p>\n<p><strong>5. Can this program be extended to find multiple perfect numbers?<\/strong><br \/>\nYes, the program&#8217;s logic can be modified to find and display a list of perfect numbers within a given range by checking each number in the range.<\/p>\n<p><strong>6. What&#8217;s the time complexity of the perfect number program?<\/strong><br \/>\nThe time complexity depends on the factorization of the number and can vary. In general, the program&#8217;s time complexity can be considered moderate.<\/p>\n<p><strong>Other C Programs<\/strong><\/p>\n<p><a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/binary-search-program-in-c\/\" title=\"C Program for Binary Search\">C Program for Binary Search<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-add-two-numbers\/\" title=\"C Program to Add Two Numbers\">C Program to Add Two Numbers<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-calculate-percentage-of-5-subjects\/\" title=\"C Program to Calculate Percentage of 5 Subjects\">C Program to Calculate Percentage of 5 Subjects<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-convert-binary-number-to-decimal-number\/\" title=\"C Program to Convert Binary Number to Decimal Number\">C Program to Convert Binary Number to Decimal Number<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-convert-celsius-to-fahrenheit\/\" title=\"C Program to Convert Celsius to Fahrenheit\">C Program to Convert Celsius to Fahrenheit<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-convert-infix-to-postfix\/\" title=\"C Program to Convert Infix to Postfix\">C Program to Convert Infix to Postfix<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-find-area-of-circle\/\" title=\"C Program to Find Area of Circle\">C Program to Find Area of Circle<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-find-roots-of-quadratic-equation\/\" title=\"C Program to Find Roots of Quadratic Equation\">C Program to Find Roots of Quadratic Equation<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-reverse-a-linked-list\/\" title=\"C program to Reverse a Linked List\">C program to Reverse a Linked List<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-reverse-a-number\/\" title=\"C program to reverse a number\">C program to reverse a number<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/c-program-to-sort-an-array-in-ascending-order\/\" title=\"Ascending Order Program in C\">Ascending Order Program in C<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/menu-driven-program-for-all-operations-on-doubly-linked-list-in-c\/\" title=\"Menu Driven Program For All Operations On Doubly Linked List in C\">Menu Driven Program For All Operations On Doubly Linked List in C<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/what-is-the-program-of-armstrong-number-in-c\/\" title=\"C Program for Armstrong Number\">C Program for Armstrong Number<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/linked-list\/c-program-for-merge-sort-for-linked-lists\/\" title=\"C Program For Merge Sort For Linked Lists\">C Program For Merge Sort For Linked Lists<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/linked-list\/c-program-for-performing-bubble-sort-on-linked-list\/\" title=\"C program for performing Bubble sort on Linked List\">C program for performing Bubble sort on Linked List<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/hello-world-program-in-c\/\" title=\"Hello World Program in C\">Hello World Program in C<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/leap-year-program-in-c\/\" title=\"Leap Year Program in C\">Leap Year Program in C<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/odd-even-program-in-c\/\" title=\"Odd Even Program in C\">Odd Even Program in C<\/a><br \/>\n<a href=\"https:\/\/prepbytes.com\/blog\/c-programming\/selection-sort-program-in-c\/\" title=\"Selection Sort Program in C\">Selection Sort Program in C<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the realm of mathematics, a perfect number is a positive integer that precisely equals the sum of its positive divisors, excluding the number itself. For instance, the positive integer 6 is evenly divided by the numbers 1, 2, and 3. Although we are aware that the number is also divisible on its own, we [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-10947","post","type-post","status-publish","format-standard","hentry","category-c-programming"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Perfect Number Program in C<\/title>\n<meta name=\"description\" content=\"A perfect number in mathematics is a positive integer that is equal to the total of its positive divisors. 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