Experimental Mathematics

Bounds for the density of abundant integers

Abstract

We say that an integer $n$ is abundant if the sum of the divisors of $n$ is at least $2n$. It has been known [wall71] that the set of abundant numbers has a natural density $A(2)$ and that $0.244 < A(2) < 0.291$. We give the sharper bounds $0.2474 < A(2) < 0.2480$.

Article information

Source
Experiment. Math. Volume 7, Issue 2 (1998), 137-143.

Dates
First available: 24 March 2003