Source: wikibot/highly-abundant-number
= Highly abundant number
{wiki=Highly_abundant_number}
A highly abundant number is a positive integer that has a particularly high ratio of the sum of its divisors to the number itself. More formally, a highly abundant number \\( n \\) satisfies the condition that for any integer \\( m \< n \\), the sum of the divisors function \\( \\sigma(m) \\) (which returns the sum of all positive divisors of \\( m \\)) is less than \\( \\sigma(n) \\) divided by \\( n \\).