{"id":311,"date":"2021-12-25T16:39:31","date_gmt":"2021-12-25T19:39:31","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=311"},"modified":"2026-02-15T02:16:42","modified_gmt":"2026-02-15T05:16:42","slug":"crazy-representations-of-natural-numbers-using-factorial-from-100001-200000","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=311","title":{"rendered":"Crazy Representations of Natural Numbers Using Factorial: From 100001-200000"},"content":{"rendered":"\n<p>In 2013-2014, author (<a rel=\"noreferrer noopener\" href=\"http:\/\/bit.ly\/2wnZq6g\" target=\"_blank\">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\"><a href=\"https:\/\/inderjtaneja.files.wordpress.com\/2021\/12\/image-1.png\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2021\/12\/image-1.png?w=1024\" alt=\"\" class=\"wp-image-9344\"\/><\/a><\/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,\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/inderjtaneja.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/inderjtaneja.wordpress.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem\/<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=893\">Crazy Representations of Natural Numbers \u2013 The 10958 Problem<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/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;&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;&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;&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;&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<p>Recently, author wrote the above 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. These are revised version work of 2021. See the links below:<\/p>\n\n\n\n<p><\/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, 2021, 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 fetchpriority=\"high\" 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","protected":false},"excerpt":{"rendered":"<p>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: Recently, author wrote the above numbers till 100000 in increasing and decreasing orders of 1 to 9 and 9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":312,"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-311","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\/2021\/12\/Image-4.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/311","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=311"}],"version-history":[{"count":4,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/311\/revisions"}],"predecessor-version":[{"id":12189,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/311\/revisions\/12189"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/312"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=311"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=311"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}