{"id":16325,"date":"2021-08-12T09:25:16","date_gmt":"2021-08-12T03:55:16","guid":{"rendered":"https:\/\/python-programs.com\/?p=16325"},"modified":"2021-11-22T18:38:32","modified_gmt":"2021-11-22T13:08:32","slug":"python-program-to-generate-strong-numbers-in-an-interval","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-generate-strong-numbers-in-an-interval\/","title":{"rendered":"Python Program to Generate Strong Numbers in an Interval"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-select-a-random-element-from-a-tuple\/\">Python Program to Select a Random Element from a Tuple<\/a><br \/>\n<strong>Strong number:<\/strong><\/p>\n<p>A Strong number is a special number in which the total of all digit factorials equals the number itself.<\/p>\n<p>Ex: 145 the sum of factorial of digits = 1 ! + 4 ! +5 ! = 1 + 24 +125<\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>To determine whether a given number is strong or not. We take each digit from the supplied number and calculate its factorial, we will do this for each digit of the number.<\/p>\n<p>We do the sum of factorials once we have the factorial of all digits. If the total equals the supplied number, the given number is strong; otherwise, it is not.<\/p>\n<p>Given a number, the task is to check whether the given number is strong number or not.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example 1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given lower limit range  = 1\r\nGiven upper limit  range= 200<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Strong Numbers in a given range 1 and 200 are :\r\n1 2 145<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given lower limit range = 100\r\nGiven upper limit range= 60000<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Strong Numbers in a given range 100 and 60000 are :\r\n145 40585<\/pre>\n<h2>Program to Generate Strong Numbers in an Interval<\/h2>\n<p>Below are the ways to generate Strong Numbers in a given interval.<\/p>\n<ul>\n<li><a href=\"#Using_While_loop_and_factorial()_function_(Static_input)\">Using While loop and factorial() function (Static input)<\/a><\/li>\n<li><a href=\"#Using_While_loop_and_factorial()_function_(User_input)\">Using While loop and factorial() function (User input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_While_loop_and_factorial()_function_(Static_input)\">Method #1: Using While loop and factorial() function (Static input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ol>\n<li>Import math function using import keyword.<\/li>\n<li>Give the lower limit range as static input and store it in a variable.<\/li>\n<li>Give the upper limit range as static input and store it in another variable.<\/li>\n<li>Loop from lower limit range to upper limit range using For loop.<\/li>\n<li>Put the iterator value in a temporary variable called <strong>tempNum<\/strong>.<\/li>\n<li>Set a variable, say\u00a0<strong>totalSum<\/strong>\u00a0to zero. This will save the factorial sum of each of N\u2019s digits.<\/li>\n<li>The number\u2019s final digit must be saved in a variable, such as\u00a0<strong>last_Digit<\/strong>\u00a0= N % 10.<\/li>\n<li>Calculate the factorial of the\u00a0<strong>last_Digit\u00a0<\/strong>using math.<strong>factorial()<\/strong>\u00a0function<\/li>\n<li>When the factorial of the last digit is found, it should be added to the\u00a0<strong>totalSum<\/strong>\u00a0=\u00a0<strong>totalSum<\/strong>+\u00a0<strong>factNum<\/strong><\/li>\n<li>Following each factorial operation, the number must be reduced in terms of units by dividing it by ten that is\u00a0 <strong>Itr <\/strong><strong>= Itr \/10<\/strong><\/li>\n<li>Steps 5\u20138 should be repeated until N &gt; 0.<\/li>\n<li>Check if the <strong>totalSum<\/strong> is equal to <strong>tempNum <\/strong>using the if conditional statement.<\/li>\n<li>If it is true then print the <strong>tempNum<\/strong>(which is the iterator value).<\/li>\n<li>The Exit of the program.<\/li>\n<\/ol>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import the math module using import keyword.\r\nimport math\r\n# Give the lower limit range as static input and store it in a variable.\r\ngvn_lower_lmt = 1\r\n# Give the upper limit range as static input and store it in another variable.\r\ngvn_upper_lmt = 200\r\n# Loop from lower limit range to upper limit range using For loop.\r\nprint(\"The Strong Numbers in a given range\",\r\n      gvn_lower_lmt, \"and\", gvn_upper_lmt, \"are :\")\r\nfor itr in range(gvn_lower_lmt, gvn_upper_lmt+1):\r\n   # Taking a variable totalSum and initializing it with 0\r\n    totalSum = 0\r\n    # Put the iterator value in a temporary variable called tempNum.\r\n    tempNum = itr\r\n    # using while to extract digit by digit of the given iterator value\r\n    while(itr):\r\n        s = 1\r\n        factNum = 1\r\n        # Getting the last digit of the iterator value\r\n        remainder = itr % 10\r\n        # calculating the factorial of the digit(extracted by remainder variable)\r\n        # using math.fatorial function\r\n        factNum = math.factorial(remainder)\r\n        # Adding the factorial to the totalSum\r\n        totalSum = totalSum + factNum\r\n        # Dividing the given itertor value by 10\r\n        itr = itr\/\/10\r\n    # checking if the totalSum is equal to the iterator value\r\n    # if it is true then it is strong number then return true\r\n    if(totalSum == tempNum):\r\n        print(tempNum, end=' ')\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Strong Numbers in a given range 1 and 200 are :\r\n1 2 145<\/pre>\n<h3 id=\"Using_While_loop_and_factorial()_function_(User_input)\">Method #2: Using While loop and factorial() function (User input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ol>\n<li>Import math function using the import keyword.<\/li>\n<li>Give the lower limit range as user input using int(input()) and store it in a variable.<\/li>\n<li>Give the upper limit range as user input using int(input()) and store it in another variable.<\/li>\n<li>Loop from lower limit range to upper limit range using For loop.<\/li>\n<li>Put the iterator value in a temporary variable called <strong>tempNum<\/strong>.<\/li>\n<li>Set a variable, say\u00a0<strong>totalSum<\/strong>\u00a0to zero. This will save the factorial sum of each of N\u2019s digits.<\/li>\n<li>The number\u2019s final digit must be saved in a variable, such as\u00a0<strong>last_Digit<\/strong>\u00a0= N % 10.<\/li>\n<li>Calculate the factorial of the\u00a0<strong>last_Digit\u00a0<\/strong>using math.<strong>factorial()<\/strong>\u00a0function<\/li>\n<li>When the factorial of the last digit is found, it should be added to the\u00a0<strong>totalSum<\/strong>\u00a0=\u00a0<strong>totalSum<\/strong>+\u00a0<strong>factNum<\/strong><\/li>\n<li>Following each factorial operation, the number must be reduced in terms of units by dividing it by ten that is\u00a0 <strong>Itr <\/strong><strong>= Itr \/10<\/strong><\/li>\n<li>Steps 5\u20138 should be repeated until N &gt; 0.<\/li>\n<li>Check if the <strong>totalSum<\/strong> is equal to <strong>tempNum <\/strong>using the if conditional statement.<\/li>\n<li>If it is true then print the <strong>tempNum<\/strong>(which is the iterator value).<\/li>\n<li>The Exit of the program.<\/li>\n<\/ol>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import the math module using import keyword.\r\nimport math\r\n#Give the lower limit range as user input using int(input()) and\r\n#store it in a variable.\r\ngvn_lower_lmt = int(input(\"Enter some random number = \"))\r\n#Give the upper limit range as user input using int(input()) and \r\n#store it in another variable.\r\ngvn_upper_lmt = int(input(\"Enter some random number = \"))\r\n# Loop from lower limit range to upper limit range using For loop.\r\nprint(\"The Strong Numbers in a given range\",\r\n      gvn_lower_lmt, \"and\", gvn_upper_lmt, \"are :\")\r\nfor itr in range(gvn_lower_lmt, gvn_upper_lmt+1):\r\n   # Taking a variable totalSum and initializing it with 0\r\n    totalSum = 0\r\n    # Put the iterator value in a temporary variable called tempNum.\r\n    tempNum = itr\r\n    # using while to extract digit by digit of the given iterator value\r\n    while(itr):\r\n        s = 1\r\n        factNum = 1\r\n        # Getting the last digit of the iterator value\r\n        remainder = itr % 10\r\n        # calculating the factorial of the digit(extracted by remainder variable)\r\n        # using math.fatorial function\r\n        factNum = math.factorial(remainder)\r\n        # Adding the factorial to the totalSum\r\n        totalSum = totalSum + factNum\r\n        # Dividing the given itertor value by 10\r\n        itr = itr\/\/10\r\n    # checking if the totalSum is equal to the iterator value\r\n    # if it is true then it is strong number then return true\r\n    if(totalSum == tempNum):\r\n        print(tempNum, end=' ')\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 1\r\nEnter some random number = 5000\r\nThe Strong Numbers in a given range 1 and 5000 are :\r\n1 2 145<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sine-series-for-the-given-range\/\">Python Program to Find the Sine Series for the Given range<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-armstrong-number-in-an-interval\/\">Python Program to Find Armstrong Number in an Interval<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-all-disarium-numbers-within-given-range\/\">Python Program to Print all Disarium Numbers within Given range<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-gcd-of-elements-in-a-given-range\/\">Python Program to Find GCD of Elements in a Given Range<\/a><\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Select a Random Element from a Tuple Strong number: A Strong number is a special number in which the total of all digit factorials equals the number itself. Ex: 145 the sum of factorial of digits = 1 ! + 4 ! +5 ! = &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-generate-strong-numbers-in-an-interval\/\"> <span class=\"screen-reader-text\">Python Program to Generate Strong Numbers in an Interval<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":17035,"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":[6],"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 Generate Strong Numbers in an Interval - 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-generate-strong-numbers-in-an-interval\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Generate Strong Numbers in an Interval - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Select a Random Element from a Tuple Strong number: A Strong number is a special number in which the total of all digit factorials equals the number itself. 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