a superabundant number . Not all superabundant numbers are colossally abundant. Extension The generalized -super abundant numbers are those such that for all , where is the sum of the -th powers of the divisors of . 1-super abundant numbers are superabundant numbers. 0-super abundant numbers are highly composite numbers. For example, generalized 2-super abundant numbers are 1, 2, 4, 6, 12, 24, 48, 60, 120, 240, ... References . . . External links MathWorld: Superabundant number Divisor function Integer sequences