{"id":8186,"date":"2021-06-07T18:20:46","date_gmt":"2021-06-07T12:50:46","guid":{"rendered":"https:\/\/python-programs.com\/?p=8186"},"modified":"2021-11-22T18:38:38","modified_gmt":"2021-11-22T13:08:38","slug":"python-program-to-check-whether-the-given-number-is-perfect-number-or-not","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/","title":{"rendered":"Python Program to Check Whether the given Number is Perfect Number or Not"},"content":{"rendered":"<p><strong>Perfect Number in python:<\/strong><\/p>\n<p>If the sum of a number&#8217;s appropriate divisors (excluding the number itself) equals the number, the number is said to be the perfect number.<\/p>\n<p>Consider the following example: appropriate divisors of 6 are 1, 2, 3. Because the sum of these divisors equals 6 (1+2+3=6), 6 is considered a perfect number. When we consider another number, such as 12, the proper divisors of 12 are 1, 2, 3, 4, and 6. Now, because the sum of these divisors does not equal 12, 12 is not a perfect number.<\/p>\n<p>Python programming is simpler and more enjoyable than programming in other languages due to its simplified syntax and superior readability. Now that we understand the concept of a perfect number, let&#8217;s construct a Python program to determine whether or not a number is a perfect number. Let&#8217;s write some Python code to see if the given user input is a perfect number or not, and have some fun with Python coding.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number = 6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given number 6 is perfect number<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number = 179<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given number 179 is not a perfect number<\/pre>\n<h2>Python Program to Check Whether the given Number is Perfect Number or Not<\/h2>\n<p>There are several ways to check whether the given number is perfect number or not some of them are:<\/p>\n<ul>\n<li><a href=\"#Iterating_from_2_to_N-1\">Iterating from 2 to N-1<\/a><\/li>\n<li><a href=\"#Iterating_from_2_to_N\/2\">Iterating from 2 to N\/2<\/a><\/li>\n<li><a href=\"#Efficient_Approach_(Iterating_till_Square_root_of_N)\">Efficient Approach (Iterating till Square root of N)<\/a><\/li>\n<\/ul>\n<p>Drive into <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a> and explore more instances related to python concepts so that you can become proficient in generating programs in Python Programming Language.<\/p>\n<h3 id=\"Iterating_from_2_to_N-1\">Method #1: Iterating from 2 to N-1<\/h3>\n<p>A simple technique for determining a perfect number is to loop from 2 to given_number-1, keep track of the sum of the number&#8217;s proper divisors, and see if the sum equals the number.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># python program to cheeck whether the given numner is perfect number or not\r\n\r\n# function which returns true if the given number is\r\n# perfect number else it will return False\r\n\r\n\r\ndef checkPerfectNumb(givenNumb):\r\n    # Taking a variable totalSum and initializing it with 1\r\n    totalSum = 1\r\n    # Iterating from 2 to n-1\r\n    for i in range(2, givenNumb):\r\n        # if the iterator value is divides the number then add the given number to totalSum\r\n        if givenNumb % i == 0:\r\n            totalSum += i\r\n\r\n    # if the totalSum is equal to the given number\r\n    # then it is perfect number else it is not perfect number\r\n\r\n    if(totalSum == givenNumb):\r\n        # if it is true then it is perfect number then return true\r\n        return True\r\n    # if nothing is returned then it is not a perfect number so return False\r\n    return False\r\n\r\n\r\n# Given number\r\ngiven_numb = 6\r\n# passing the givennumber to checkPerfectNumb to check whether it is perfect number or not\r\nif(checkPerfectNumb(given_numb)):\r\n    print(\"The given number\", given_numb, \"is perfect number\")\r\nelse:\r\n    print(\"The given number\", given_numb, \"is not a perfect number\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given number 6 is perfect number<\/pre>\n<p>We must determine whether n is a perfect number. It is worth noting that we are initializing the <strong>totalSum<\/strong> with 1 because 1 is a valid divisor for all integers (except zero), allowing us to skip an iteration in the loop and start from 2.<\/p>\n<p>If it is a proper divisor, we loop over 2 to number-1 and add the integers to <strong>totalSum<\/strong>. Finally, when we exit the loop, we check to see if the sum obtained is equal to the number.<\/p>\n<p>It requires <strong>O(n) Time Complexity.<\/strong><\/p>\n<h3 id=\"Iterating_from_2_to_N\/2\">Method #2:Iterating from 2 to N\/2<\/h3>\n<p>After running the preceding program through its tests, we may think it would be possible to optimize it. But, without modifying the technique, we can reduce the number of iterations to number\/2. We came to the conclusion that a number cannot have a suitable divisor bigger than number\/2.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># python program to cheeck whether the given numner is perfect number or not\r\n\r\n# function which returns true if the given number is\r\n# perfect number else it will return False\r\n\r\n\r\ndef checkPerfectNumb(givenNumb):\r\n    # Taking a variable totalSum and initializing it with 1\r\n    totalSum = 1\r\n    # Iterating from 2 to given_number\/\/2 +1\r\n    for i in range(2, givenNumb\/\/2 + 1):\r\n        # if the iterator value is divides the number then add the given number to totalSum\r\n        if givenNumb % i == 0:\r\n            totalSum += i\r\n\r\n    # if the totalSum is equal to the given number\r\n    # then it is perfect number else it is not perfect number\r\n\r\n    if(totalSum == givenNumb):\r\n        # if it is true then it is perfect number then return true\r\n        return True\r\n    # if nothing is returned then it is not a perfect\u00a0number so return False\r\n    return False\r\n\r\n\r\n# Given number\r\ngiven_numb = 6\r\n# passing the givennumber to checkPerfectNumb to check whether it is perfect number or not\r\nif(checkPerfectNumb(given_numb)):\r\n    print(\"The given number\", given_numb, \"is perfect number\")\r\nelse:\r\n    print(\"The given number\", given_numb, \"is not a perfect number\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given number 6 is perfect number<\/pre>\n<p>The preceding excerpt is nearly identical to the previous one, with the exception of looping till number\/2. It&#8217;s worth noting that we&#8217;re doing an integer division instead of converting it to a float type, and we&#8217;re looping until n\/2+1 because the last integer in the range is ignored by the Python loop.<\/p>\n<p>It requires <strong>O(n) Time Complexity.<\/strong><\/p>\n<h3 id=\"Efficient_Approach_(Iterating_till_Square_root_of_N)\">Method #3: Efficient Approach (Iterating till Square root of N)<\/h3>\n<p>An Efficient Solution is to go through the numbers till you get to the square root of n. If a number i divides n, then sum both i and n\/i.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># python program to cheeck whether the given numner is perfect number or not\r\n\r\n# function which returns true if the given number is\r\n# perfect number else it will return False\r\n\r\n\r\ndef checkPerfectNumb(givenNumb):\r\n    # Taking a variable totalSum and initializing it with 1\r\n    totalSum = 1\r\n    k = 2\r\n    while k * k &lt;= givenNumb:\r\n        # if the iterator value is divides the number then add the given number to totalSum\r\n        if givenNumb % k == 0:\r\n            totalSum = totalSum + k + givenNumb\/k\r\n        k += 1\r\n\r\n    # if the totalSum is equal to the given number\r\n    # then it is perfect number else it is not perfect number\r\n\r\n    if(totalSum == givenNumb):\r\n        # if it is true then it is perfect number then return true\r\n        return True\r\n    # if nothing is returned then it is not a perfect\u00a0number so return False\r\n    return False\r\n\r\n\r\n# Given number\r\ngiven_numb = 6\r\n# passing the givennumber to checkPerfectNumb to check whether it is perfect number or not\r\nif(checkPerfectNumb(given_numb)):\r\n    print(\"The given number\", given_numb, \"is perfect number\")\r\nelse:\r\n    print(\"The given number\", given_numb, \"is not a perfect number\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given number 6 is perfect number<\/pre>\n<p>This is the efficient approach to do the same problem quickly compared to first two methods.<\/p>\n<p>It requires <strong>O(Sqrt(n)) Time Complexity.<\/strong><\/p>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-if-a-string-is-palindrome-or-not\/\">Python program to check if a string is palindrome or not<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-armstrong-number\/\">Python Program to Check Armstrong Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-if-two-strings-are-anagram\/\">Python Program to Check If Two Strings are Anagram<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-a-number-is-prime-or-not\/\">Python Program to Check Prime Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-strong-number-or-not\/\">Python Program to Check Whether the given Number is Strong Number or Not<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Perfect Number in python: If the sum of a number&#8217;s appropriate divisors (excluding the number itself) equals the number, the number is said to be the perfect number. Consider the following example: appropriate divisors of 6 are 1, 2, 3. Because the sum of these divisors equals 6 (1+2+3=6), 6 is considered a perfect number. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/\"> <span class=\"screen-reader-text\">Python Program to Check Whether the given Number is Perfect Number or Not<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":8194,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Check Whether the given Number is Perfect Number or Not - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Check Whether the given Number is Perfect Number or Not - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Perfect Number in python: If the sum of a number&#8217;s appropriate divisors (excluding the number itself) equals the number, the number is said to be the perfect number. 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Consider the following example: appropriate divisors of 6 are 1, 2, 3. Because the sum of these divisors equals 6 (1+2+3=6), 6 is considered a perfect number. &hellip; Python Program to Check Whether the given Number is Perfect Number or Not Read More &raquo;","og_url":"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/","og_site_name":"Python Programs","article_publisher":"https:\/\/www.facebook.com\/btechgeeks","article_published_time":"2021-06-07T12:50:46+00:00","article_modified_time":"2021-11-22T13:08:38+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/06\/Program-to-Check-Whether-the-given-Number-is-Perfect-Number-or-Not-in-Python.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@btech_geeks","twitter_site":"@btech_geeks","twitter_misc":{"Written by":"Vikram Chiluka","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/python-programs.com\/#organization","name":"BTech Geeks","url":"https:\/\/python-programs.com\/","sameAs":["https:\/\/www.instagram.com\/btechgeeks\/","https:\/\/www.linkedin.com\/in\/btechgeeks","https:\/\/in.pinterest.com\/btechgeek\/","https:\/\/www.youtube.com\/channel\/UC9MlCqdJ3lKqz2p5114SDIg","https:\/\/www.facebook.com\/btechgeeks","https:\/\/twitter.com\/btech_geeks"],"logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","width":350,"height":70,"caption":"BTech Geeks"},"image":{"@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/"}},{"@type":"WebSite","@id":"https:\/\/python-programs.com\/#website","url":"https:\/\/python-programs.com\/","name":"Python Programs","description":"Python Programs with Examples, How To Guides on Python","publisher":{"@id":"https:\/\/python-programs.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/python-programs.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/#primaryimage","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/06\/Program-to-Check-Whether-the-given-Number-is-Perfect-Number-or-Not-in-Python.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/06\/Program-to-Check-Whether-the-given-Number-is-Perfect-Number-or-Not-in-Python.png","width":1280,"height":720,"caption":"Program to Check Whether the given Number is Perfect Number or Not in Python"},{"@type":"WebPage","@id":"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/#webpage","url":"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/","name":"Python Program to Check Whether the given Number is Perfect Number or Not - 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