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2002 Aliquot sequence 3630 ends after reaching 100 digits
Manuel Benito, Wolfgang Creyaufmüller, Juan L. Varona, Paul Zimmermann
Experiment. Math. 11(2): 201-206 (2002).

Abstract

In this paper we present a new computational record: the aliquot sequence starting at 3630 converges to 1 after reaching a hundred decimal digits. Also, we show the current status of all the aliquot sequences starting with a number smaller than 10,000; we have reached at least 95 digits for all of them. in particular, we have reached at least 112 digits for the so-called "Lehmer five sequences," and 101 digits for the "Godwin twelve sequences." Finally, we give a summar showing the number of aliquot sequences of unknown end starting with a number less than or equal 10^6.

Citation

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Manuel Benito. Wolfgang Creyaufmüller. Juan L. Varona. Paul Zimmermann. "Aliquot sequence 3630 ends after reaching 100 digits." Experiment. Math. 11 (2) 201 - 206, 2002.

Information

Published: 2002
First available in Project Euclid: 3 September 2003

zbMATH: 1116.11326
MathSciNet: MR1959263

Subjects:
Primary: 11Y55
Secondary: 11A25

Keywords: aliquot cycles , Aliquot sequences , amicable pair , perfect number , sociable numbers , sum of divisors

Rights: Copyright © 2002 A K Peters, Ltd.

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Vol.11 • No. 2 • 2002
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