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Aliquot sequence 3630 ends after reach 100 digits. (English) Zbl 1116.11326

Summary: 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 list showing the number of aliquot sequences of unknown end starting with a number less than or equal \(10^6\).

MSC:

11Y55 Calculation of integer sequences
11A25 Arithmetic functions; related numbers; inversion formulas
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