Aliquot Cycles of Repdigits

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012Publisher:Walter de Gruyter GmbHJournal:Integers, volume 12 (issn: 1867-0652, eissn: 1867-0652,

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Authors: Florian Luca; Herman te Riele;

doi: 10.1515/integ.2011.090

Aliquot Cycles of Repdigits

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Abstract

Abstract.Here we show that the only aliquot cycle consisting only of rep-digits in base 10 is the cycle consisting of the perfect number 6. Generally, we show that if

Related Organizations

Dutch Research Council
Netherlands
Centrum Wiskunde & Informatica
Netherlands
National Autonomous University of Mexico
Mexico

Keywords

repdigits, Arithmetic functions; related numbers; inversion formulas, aliquot cycles, Radix representation; digital problems, divisor sum

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