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1998 Bounds for the density of abundant integers
Marc Deléglise
Experiment. Math. 7(2): 137-143 (1998).

Abstract

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

Citation

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Marc Deléglise. "Bounds for the density of abundant integers." Experiment. Math. 7 (2) 137 - 143, 1998.

Information

Published: 1998
First available in Project Euclid: 24 March 2003

zbMATH: 0923.11127
MathSciNet: MR1677091

Subjects:
Primary: 11N60

Rights: Copyright © 1998 A K Peters, Ltd.

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Vol.7 • No. 2 • 1998
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