Achilles number

id: achilles-number-163-12255975
title: Achilles number
text: An Achilles number is a number that is powerful but not a perfect power. A positive integer n is a powerful number if, for every prime factor p of n, p⁲ is also a divisor. In other words, every prime factor appears at least squared in the factorization. All Achilles numbers are powerful. However, not all powerful numbers are Achilles numbers: only those that cannot be represented as mk, where m and k are positive integers greater than 1. Achilles numbers were named by Henry Bottomley after Achil
brand slug: wiki
category slug: encyclopedia
description: Numbers with special prime factorization
original url: https://en.wikipedia.org/wiki/Achilles_number
date created: 2006-11-12T02:19:27Z
date modified: 2024-08-28T13:18:29Z
main entity: {"identifier":"Q3232444","url":"https://www.wikidata.org/entity/Q3232444"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f6/Achilles_number_Cuisenaire_rods_72.png","width":935,"height":582}
fields total: 13
integrity: 16

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