Two-layered numbers
Number Theory
2018-12-27 v3
Abstract
In this paper, first, I introduce two-layered numbers. Two-layered numbers are positive integers that their positive divisors except 1 can be partitioned into two disjoint subsets. Similarly, I defined a half-layered number as a positive integer n that its proper positive divisors excluding can be partitioned into two disjoint subsets. I also investigate the properties of two-layered and half-layered numbers and their relation with practical numbers and Zumkeller numbers.
Keywords
Cite
@article{arxiv.1812.07233,
title = {Two-layered numbers},
author = {Hussein Behzadipour},
journal= {arXiv preprint arXiv:1812.07233},
year = {2018}
}