A remark on sociable numbers of odd order

DOI10.1016/J.JNT.2010.03.011zbMath1195.11013OpenAlexW2047776544WikidataQ114157591 ScholiaQ114157591MaRDI QIDQ982525

Paul Pollack

Publication date: 7 July 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.03.011

zbMATH Keywords

aliquot cyclealiquot partsociable chainsociable number

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (1)

Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors

Cites Work

• Bemerkung zu der Arbeit über vollkommene Zahlen in Math. Ann. Bd. 133, S. 431-438 (1957)
• On the distribution of sociable numbers
• On composite integers \(n\) for which \(\varphi(n)\mid n-1\)
• New Sociable Numbers
• A Search for Aliquot Cycles Below 10 10
• A Search for Aliquot Cycles and Amicable Pairs
• On Amicable and Sociable Numbers
• Some remarks about additive and multiplicative functions

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