### Bounds for the density of abundant integers

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

#### 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 $0.2474 < A(2) < 0.2480$.

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Primary Subjects: 11N60
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