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
Famous quotes containing the words abundant and/or number:
“There they lived on, those New England people, farmer lives, father and grandfather and great-grandfather, on and on without noise, keeping up tradition, and expecting, beside fair weather and abundant harvests, we did not learn what. They were contented to live, since it was so contrived for them, and where their lines had fallen.”
—Henry David Thoreau (1817–1862)
“Computers are good at swift, accurate computation and at storing great masses of information. The brain, on the other hand, is not as efficient a number cruncher and its memory is often highly fallible; a basic inexactness is built into its design. The brain’s strong point is its flexibility. It is unsurpassed at making shrewd guesses and at grasping the total meaning of information presented to it.”
—Jeremy Campbell (b. 1931)