The constant factor in the asymptotic for practical numbers
Number Theory
2019-08-30 v3
Abstract
An integer is said to be practical if every natural number can be expressed as a sum of distinct positive divisors of . The number of practical numbers up to is asymptotic to , where is a constant. In this note we show that .
Keywords
Cite
@article{arxiv.1906.07819,
title = {The constant factor in the asymptotic for practical numbers},
author = {Andreas Weingartner},
journal= {arXiv preprint arXiv:1906.07819},
year = {2019}
}
Comments
10 pages