Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595114 | Journal of Number Theory | 2008 | 10 Pages |
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