quasiperfect number

If there exists an abundant number n with divisorsMathworldPlanetmathPlanetmath d1,,dk, such that


that number would be called a quasiperfect number. Such a number would be n>1035 and have ω(n)>6 (where ω 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
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