Document Type

Article

Publication Date

2007

Abstract

The abundancy index of a positive integer n is defined to be the rational number I(n) = σ(n)/n, where σ is the sum of divisors function σ(n) = P d|n d. An abundancy outlaw is a rational number greater than 1 that fails to be in the image of of the map I. In this paper, we consider rational numbers of the form (σ(N) + t)/N and prove that under certain conditions such rationals are abundancy outlaws.

Journal

The Journal of Integer Sequences

Volume

10

Included in

Mathematics Commons

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