High Quality Content by WIKIPEDIA articles! 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 divisor or factor p of n, p2 is also a divisor. In other words, every prime factor appears at least squared. 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.

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