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Upper Bounds on the Sum of Principal Divisors of an Integer

by Roger B. Eggleton (Illinois State University) and William P. Galvin (University of Newcastle Australia)

This article originally appeared in:
Mathematics Magazine
June, 2004

Subject classification(s): Algebra and Number Theory | Number Theory | Integers
Applicable Course(s): 4.3 Number Theory

After a brief historical discussion of the aliquot parts of an integer the authors use elementary arguments to prove a theorem about the sums of its principal divisors.

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Capsule Course Topic(s):
Number Theory | Arithmetic Functions
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