Advances in aliquot sequences

  1. Benito, M. 1
  2. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Mathematics of Computation

ISSN: 0025-5718

Year of publication: 1999

Volume: 68

Issue: 225

Pages: 389-393

Type: Article

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DOI: 10.1090/S0025-5718-99-00991-6 SCOPUS: 2-s2.0-0033481510 WoS: WOS:000077585600023 GOOGLE SCHOLAR lock_openOpen access editor

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Abstract

In this paper we describe some advances in the knowledge of the behavior of aliquot sequences starting with a number less than 10000. For some starting values, it is shown for the first time that the sequence terminates. The current record for the maximum of a terminating sequence is located in the one starting at 4170; it converges to 1 after 869 iterations getting a maximum of 84 decimal digits at iteration 289.