{"id":13520,"date":"2024-12-30T22:30:05","date_gmt":"2024-12-30T22:30:05","guid":{"rendered":"https:\/\/vukutu.com\/blog\/?p=13520"},"modified":"2024-12-30T22:30:05","modified_gmt":"2024-12-30T22:30:05","slug":"the-year-2025","status":"publish","type":"post","link":"https:\/\/vukutu.com\/blog\/2024\/12\/the-year-2025\/","title":{"rendered":"The Year 2025"},"content":{"rendered":"<blockquote><\/blockquote>\n<p>The year 2025 is a square number, since 2025 = 45 * 45. The adjacent years which are also squares are 1936 = 44 * 44 and 2116 = 46 * 46.  There will be people who are alive for two of these three years, but nobody for all three (unless human lifespans increase dramatically for people born before 1937).<\/p>\n<blockquote><\/blockquote>\n<p>A Harshad number (aka a Niven number) is a number which is evenly divisible by the sum of its digits, eg, the number 24 is evenly divisible by 6, the sum of 2 + 4.    The number 2025 is evenly divisible by 9 (the sum of 2 + 0 + 2 + 5), so it is a Harshad number.  Likewise, the past three years are all evenly divisible by the sum of their respective digits:  2022, 2023 and 2024.<\/p>\n<blockquote><\/blockquote>\n<p>A sequence of four Harshad years in a row like this (2022, 2023, 2024, 2025) is quite rare.  The last time this happened was a millenium ago, in the year 1014, and the next time it will happen will be in the year 3030, a millenium ahead of us.<\/p>\n<blockquote><\/blockquote>\n<p>I feel privileged to be alive at this particular time to witness this sequence! <\/p>\n<blockquote><\/blockquote>\n<p>The sequence of numbers which begin four Harshad numbers in a row are shown at the Online Encyclopedia of Integer Sequences <a href=\"https:\/\/oeis.org\/A141769\" target=\"_blank\" rel=\"noopener noreferrer\">here<\/A>.<\/p>\n<blockquote><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>The year 2025 is a square number, since 2025 = 45 * 45. The adjacent years which are also squares are 1936 = 44 * 44 and 2116 = 46 * 46. There will be people who are alive for two of these three years, but nobody for all three (unless human lifespans increase dramatically [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[50],"tags":[],"class_list":["post-13520","post","type-post","status-publish","format-standard","hentry","category-mathematics","p1","y2024","m12","d30","h22"],"_links":{"self":[{"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/posts\/13520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/comments?post=13520"}],"version-history":[{"count":1,"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/posts\/13520\/revisions"}],"predecessor-version":[{"id":13521,"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/posts\/13520\/revisions\/13521"}],"wp:attachment":[{"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/media?parent=13520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/categories?post=13520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vukutu.com\/blog\/wp-json\/wp\/v2\/tags?post=13520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}