Article ID Journal Published Year Pages File Type
4595114 Journal of Number Theory 2008 10 Pages PDF
Abstract

Euler's structure theorem for any odd perfect number is extended to odd multiperfect numbers of abundancy power of 2. In addition, conditions are found for classes of odd numbers not to be 4-perfect: some types of cube, some numbers divisible by 9 as the maximum power of 3, and numbers where 2 is the maximum even prime power.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory