Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Bi-unitary perfect numbers


Author: Charles R. Wall
Journal: Proc. Amer. Math. Soc. 33 (1972), 39-42
MSC: Primary 10.05
DOI: https://doi.org/10.1090/S0002-9939-1972-0289403-9
MathSciNet review: 0289403
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let d be a divisor of a positive integer n. Then d is a unitary divisor if d and n/d are relatively prime, and d is a bi-unitary divisor if the greatest common unitary divisor of d and n/d is 1. An integer is bi-unitaty perfect if it equals the sum of its proper bi-unitary divisors. The purpose of this paper is to show that there are only three bi-unitary perfect numbers, namely 6, 60 and 90.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10.05

Retrieve articles in all journals with MSC: 10.05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0289403-9
Keywords: Bi-unitary divisors, perfect numbers
Article copyright: © Copyright 1972 American Mathematical Society