In mathematics, a **colossally abundant number** (sometimes abbreviated as **CA**) is a natural number that, in a particular rigorous sense, has many divisors. Formally, a number *n* is colossally abundant if and only if there is an ε > 0 such that for all *k* > 1,

where σ denotes the sum-of-divisors function. The first few colossally abundant numbers are 2, 6, 12, 60, 120, 360, 2520, 5040, ... (sequence A004490 in OEIS); all colossally abundant numbers are also superabundant numbers, but the converse is not true.

Read more about Colossally Abundant Number: History, Properties, Relation To The Riemann Hypothesis

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