{"id":459,"date":"2022-01-09T12:06:40","date_gmt":"2022-01-09T15:06:40","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=459"},"modified":"2024-12-03T16:34:29","modified_gmt":"2024-12-03T19:34:29","slug":"crazy-representations-of-natural-numbers-using-factorial-from-200001-to-300000","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=459","title":{"rendered":"Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000"},"content":{"rendered":"\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(174,196,79) 12%,rgb(182,227,212) 50%,rgb(255,255,255) 65%,rgb(51,167,181) 100%)\">Crazy Representations of Numbers from 1-100000<\/h3>\n\n\n\n<p>In 2013-2014, author (<a href=\"http:\/\/bit.ly\/2wnZq6g\" target=\"_blank\" rel=\"noreferrer noopener\">click here<\/a>) wrote natural numbers in increasing and decreasing orders of 1 to 9 using only&nbsp;<strong>basic operations<\/strong>. See below some examples:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"837\" height=\"783\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/Image-1.png\" alt=\"\" class=\"wp-image-12211\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/Image-1.png 837w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/Image-1-300x281.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/Image-1-768x718.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/Image-1-535x500.png 535w\" sizes=\"(max-width: 837px) 100vw, 837px\" \/><\/figure>\n<\/div>\n\n\n<p>For more details and extension work by other see the following link:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja, The Crazy Representations and 10958 Problem,&nbsp; \n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem\/\">Crazy Representations of Natural Numbers \u2013 The 10958 Problem \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=893\">Crazy Representations of Natural Numbers \u2013 The 10958 Problem \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>The above study include the natural numbers till 30000. In some case&nbsp;<strong>factorials&nbsp;<\/strong>and or&nbsp;<strong>square-roots<\/strong>&nbsp;are used.<\/p>\n\n\n\n<p>Recently, author wrote the above numbers till 100000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of&nbsp;<strong>factorials<\/strong>&nbsp;along with basic operations. Below are few examples:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/inderjtaneja.files.wordpress.com\/2021\/12\/image-2.png\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2021\/12\/image-2.png\" alt=\"\" class=\"wp-image-9348\"\/><\/a><\/figure>\n<\/div>\n\n\n<p>These numbers are written in four parts. See the links below:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 20001 to 40000,&nbsp;<strong>Zenodo<\/strong>, November 03, 2021, pp. 1-541,&nbsp;<strong><a href=\"https:\/\/doi.org\/10.5281\/zenodo.5642776\">https:\/\/doi.org\/10.5281\/zenodo.5642776<\/a><\/strong>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 40001 to 60000,&nbsp;<strong>Zenodo<\/strong>, November 03, 2021, pp. 1-541,&nbsp;<strong><a href=\"https:\/\/doi.org\/10.5281\/zenodo.5642826\">https:\/\/doi.org\/10.5281\/zenodo.5642826<\/a><\/strong>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 60001 to 80000,&nbsp;<strong>Zenodo<\/strong>, November 03, 2021, pp. 1-537,&nbsp;<strong><a href=\"https:\/\/doi.org\/10.5281\/zenodo.5642896\">https:\/\/doi.org\/10.5281\/zenodo.5642896<\/a><\/strong>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 80001 to 100000,&nbsp;<strong>Zenodo<\/strong>, November 03, 2021, pp. 1-533,&nbsp;<strong><a href=\"https:\/\/doi.org\/10.5281\/zenodo.5642929\">https:\/\/doi.org\/10.5281\/zenodo.5642929<\/a><\/strong>.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(174,196,79) 12%,rgb(182,227,212) 50%,rgb(255,255,255) 65%,rgb(51,167,181) 100%)\">Crazy Representations of Numbers from 100001-200000<\/h3>\n\n\n\n<p>Recently, author wrote the numbers from 100001 to 200000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of&nbsp;<strong>factorials<\/strong>&nbsp;along with basic operations. Below are few examples:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/inderjtaneja.files.wordpress.com\/2021\/12\/image-4.png\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2021\/12\/image-4.png?w=893\" alt=\"\" class=\"wp-image-9405\"\/><\/a><\/figure>\n<\/div>\n\n\n<p>These numbers are written in five parts. See the links below:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 100001 to 120000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 02, 2024, pp. 1-527, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.13152357\">https:\/\/doi.org\/10.5281\/zenodo.13152357<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 120001 to 140000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 02, 2024, pp. 1-524, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.13153617\">https:\/\/doi.org\/10.5281\/zenodo.13153617<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 140001 to 160000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 02, 2024, pp. 1-526, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.13153790\">https:\/\/doi.org\/10.5281\/zenodo.13153790<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 160001 to 180000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 02, 2024, pp. 1-521, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.13153929\">https:\/\/doi.org\/10.5281\/zenodo.13153929<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers From 180001 to 200000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 02, 2024, pp. 1-526, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.13154022\">https:\/\/doi.org\/10.5281\/zenodo.13154022<\/a><\/li>\n<\/ol>\n\n\n\n<p>In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with&nbsp;<strong>factorials<\/strong>. Below are these two numbers:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"590\" height=\"122\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers.png\" alt=\"\" class=\"wp-image-12187\" style=\"width:590px;height:auto\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers.png 590w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers-300x62.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers-535x111.png 535w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p>In case of decreasing orders we have all the numbers from 100001 to 200000 using only basic opertions and <strong>factorial<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(174,196,79) 12%,rgb(182,227,212) 50%,rgb(255,255,255) 65%,rgb(51,167,181) 100%)\">Crazy Representations of Numbers from 200001-300000<\/h3>\n\n\n\n<p>The above study is extended to 300000 numbers, i.e., 200001-300000. Again the work is divided in five parts:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers from 200001 to 220000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 05, 2024, pp. 1-526,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5831196\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.13215779<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers from 220001 to 240000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 05, 2024, pp. 1-531,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5831198\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.13215838<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers from 240001 to 260000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 05, 2024, pp. 1-529,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5831200\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.13215887<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers from 260001 to 280000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 05, 2024, pp. 1-534,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5831206\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.13215912<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Crazy Representations of Natural Numbers from 280001 to 300000 &#8211; Revised,&nbsp;<strong>Zenodo<\/strong>, August 05, 2024, pp. 1-533,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5831208\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.13215947<\/a>.<\/li>\n<\/ol>\n\n\n\n<p>In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with&nbsp;<strong>factorials<\/strong>. Below are these two numbers:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"484\" height=\"104\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers-2.png\" alt=\"\" class=\"wp-image-12214\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers-2.png 484w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-numbers-2-300x64.png 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/figure>\n<\/div>\n\n\n<p>In case of decreasing orders we have all the numbers from 200001 to 300000 using only basic opertions and <strong>factorial<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(174,196,79) 12%,rgb(182,227,212) 50%,rgb(255,255,255) 65%,rgb(51,167,181) 100%)\">Crazy Representations of Different Kind<\/h3>\n\n\n\n<p>Still a different kind of work is done by using the palindromic digits as 1357-9-7531, 2022-2202 etc. See the following links:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 02, 2022, pp. 1-238,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5813778\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5813778<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 06, 2022, pp. 1-266,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5826240\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5826240<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Hardy-Ramanujan Number \u2013 1729<\/em>,&nbsp;<strong>Zenodo<\/strong>, December 22, 2021, pp. 1-106,&nbsp; <a href=\"https:\/\/doi.org\/10.5281\/zenodo.5799640\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5799640<\/a>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(174,196,79) 12%,rgb(182,227,212) 50%,rgb(255,255,255) 65%,rgb(51,167,181) 100%)\">Site Links of Crazy Representations<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list has-blush-light-purple-gradient-background has-background\">\n<li><strong>Inder J. Taneja, The Crazy Representations and 10958 Problem<\/strong>,&nbsp;\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem\/\">Crazy Representations of Natural Numbers \u2013 The 10958 Problem \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=893\">Crazy Representations of Natural Numbers \u2013 The 10958 Problem \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial: From 20001-100000<\/strong>\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2021\/12\/07\/crazy-representations-of-natural-numbers-using-factorial-from-20-001-100-000\/\">Crazy Representations of Natural Numbers Using Factorial: From 20001-100000 \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=12194\">Crazy Representations of Natural Numbers Using Factorial: From 20001-100000 \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial: From 100001-200000<\/strong>\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2021\/12\/11\/crazy-representations-of-natural-numbers-using-factorial-from-100001-200000\/\">Crazy Representations of Natural Numbers Using Factorial: From 100001-200000 \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=311\">Crazy Representations of Natural Numbers Using Factorial: From 100001-200000 \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja, Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000<\/strong>\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2022\/01\/09\/crazy-representations-of-natural-numbers-using-factorial-from-200001-to-300000\/\">Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=459\">Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja, Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531<\/strong>\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2022\/01\/06\/representation-of-numbers-from-1-to-20000-in-terms-of-palindromic-digits-1357-9-7531\/\">Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531 \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=449\">Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531 \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202,&nbsp;<\/strong>\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.wordpress.com\/2022\/01\/02\/representation-of-numbers-from-1-to-10000-in-terms-of-palindromic-digits-2022-2202\/\">Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202 \u2013 Numbers Magic (wordpress.com)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja, Multiple Choices for Crazy Representations of Natural Numbers<\/strong>\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/numbers-magic.com\/?p=11640\">Multiple Choices for Crazy Representations of Natural Numbers \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><\/li>\n<\/ul>\n\n\n\n<p><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Crazy Representations of Numbers from 1-100000 In 2013-2014, author (click here) wrote natural numbers in increasing and decreasing orders of 1 to 9 using only&nbsp;basic operations. See below some examples: For more details and extension work by other see the following link: The above study include the natural numbers till 30000. In some case&nbsp;factorials&nbsp;and or&nbsp;square-roots&nbsp;are [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12211,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4],"tags":[],"class_list":["post-459","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-crazy-numbers"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/Image-1.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/459","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=459"}],"version-history":[{"count":8,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/459\/revisions"}],"predecessor-version":[{"id":13587,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/459\/revisions\/13587"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/12211"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}