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Difference between revisions of "Abundant number"
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Latest revision as of 00:58, 11 August 2024
Definition
An abundant number is any number, n, which has a sigma value greater than 2n.
Example
The divisors of 12 are
Abundant numbers and aliquot sequences
Abundant numbers increase the size of an aliquot sequence because when an abundant number occurs in a sequence, the next step is larger than the current step. Also, when a sequence is controlled by a driver, the subsequent steps are always abundant until an escape from the driver is obtained.
