quasiperfect number
If there exists an abundant number with divisors , such that
that number would be called a quasiperfect number. Such a number would be and have (where is the number of distinct prime factors function).
A quasiperfect number would thus overshoot the mark for being a perfect number by a margin of just 1. (The powers of 2 are short of perfection by a margin of 1).
Title | quasiperfect number |
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Canonical name | QuasiperfectNumber |
Date of creation | 2013-03-22 16:05:51 |
Last modified on | 2013-03-22 16:05:51 |
Owner | CompositeFan (12809) |
Last modified by | CompositeFan (12809) |
Numerical id | 6 |
Author | CompositeFan (12809) |
Entry type | Definition |
Classification | msc 11A05 |
Related topic | AlmostPerfectNumber |