{"id":449,"date":"2022-01-06T21:43:20","date_gmt":"2022-01-07T00:43:20","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=449"},"modified":"2026-03-16T23:45:52","modified_gmt":"2026-03-17T02:45:52","slug":"representation-of-numbers-from-1-to-20000-in-terms-of-palindromic-digits-1357-9-7531","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=449","title":{"rendered":"Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531"},"content":{"rendered":"\n<p class=\"has-text-align-justify wp-block-paragraph\">During past years author worked with representations of numbers in terms of 1 to 9 and 9 to 1. These representations called as&nbsp;<strong>crazy representations<\/strong>, and are done from 1 to 200000. For details see the references. This work is little different. It brings&nbsp;<strong>crazy representations<\/strong>&nbsp;of numbers from 1 to 20000 in terms of palindrodic digits of 1357-9-7531. For each number these 9 digits are used. This we have done by use of basic operations and&nbsp;<strong>factorial<\/strong>. There are few numbers where we used&nbsp;<strong>square-root<\/strong>&nbsp;also.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Below is a link of download of complete work:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Inder J. Taneja, Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531,&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><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Out of 20000 there are only 21 numbers where used the&nbsp;<strong>square-root<\/strong>&nbsp;along with&nbsp;<strong>factorials<\/strong>. See below these numbers:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/inderjtaneja.files.wordpress.com\/2022\/01\/135797531-1.png\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2022\/01\/135797531-1.png\" alt=\"\" class=\"wp-image-9742\"\/><\/a><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The examples below are by use of&nbsp;<strong>factorial<\/strong>:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Below are few examples:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/inderjtaneja.files.wordpress.com\/2022\/01\/135797531-2.png\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2022\/01\/135797531-2.png?w=712\" alt=\"\" class=\"wp-image-9744\" width=\"714\"\/><\/a><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/inderjtaneja.files.wordpress.com\/2022\/01\/135797531-3.png\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2022\/01\/135797531-3.png?w=712\" alt=\"\" class=\"wp-image-9745\"\/><\/a><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">A similar kind of work for the numbers from 1 to 10000 is done by use of 2022-2202. See below the link:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202, <a rel=\"noreferrer noopener\" href=\"https:\/\/inderjtaneja.com\/2022\/01\/02\/representation-of-numbers-from-1-to-10000-in-terms-of-palindromic-digits-2022-2202\/\" target=\"_blank\">https:\/\/inderjtaneja.com\/2022\/01\/02\/representation-of-numbers-from-1-to-10000-in-terms-of-palindromic-digits-2022-2202\/<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>During past years author worked with representations of numbers in terms of 1 to 9 and 9 to 1. These representations called as&nbsp;crazy representations, and are done from 1 to 200000. For details see the references. This work is little different. It brings&nbsp;crazy representations&nbsp;of numbers from 1 to 20000 in terms of palindrodic digits of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":450,"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-449","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\/2022\/01\/135797531-2.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/449","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=449"}],"version-history":[{"count":2,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/449\/revisions"}],"predecessor-version":[{"id":458,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/449\/revisions\/458"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/450"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=449"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=449"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}