In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. 12 has an abundance of 4, for example.
Read more about Abundant Number: Definition, Examples, Properties, Related Concepts
Famous quotes containing the words abundant and/or number:
“It was a flourishing tropic he required
For his refreshment, an abundant zone,
Prickly and obdurate, dense, harmonious,
Yet with a harmony not rarefied
Nor fined for the inhibited instruments
Of over-civil stops.”
—Wallace Stevens (1879–1955)
“As Jerome expanded, its chances for the title, “the toughest little town in the West,” increased and when it was incorporated in 1899 the citizens were able to support the claim by pointing to the number of thick stone shutters on the fronts of all saloons, gambling halls, and other places of business for protection against gunfire.”
—Administration in the State of Ariz, U.S. public relief program (1935-1943)