Source: wikibot/achilles-number
= Achilles number
{wiki=Achilles_number}
An Achilles number is a positive integer that is a powerful number but not a perfect power. A powerful number is defined as a number \\( n \\) such that in its prime factorization, every prime number \\( p \\) appears with an exponent of at least 2. In contrast, a perfect power is a number of the form \\( m^k \\) where \\( m \\) and \\( k \\) are positive integers and \\( k \\geq 2 \\).