Source: wikibot/colossally-abundant-number
= Colossally abundant number
{wiki=Colossally_abundant_number}
A colossally abundant number is a special type of integer that surpasses a specific threshold related to its divisors. More formally, a positive integer \\( n \\) is considered colossally abundant if it satisfies the condition: \\\[ \\frac\{\\sigma(n)\}\{n\} > \\frac\{\\sigma(m)\}\{m\} \\\] for all positive integers \\( m \< n \\), where \\( \\sigma(n) \\) is the sum of the positive divisors of \\( n \\).