A014361 - OEIS

A014361

Aliquot sequence starting at 564.

564, 780, 1572, 2124, 3336, 5064, 7656, 13944, 26376, 49464, 88536, 187944, 295896, 443904, 812340, 1652304, 2767056, 4803888, 7914048, 13495104, 30725280, 79741440, 196505388, 300216656, 285162916, 237325596, 325831908, 434442572, 325831936, 347001764, 260735800, 434766560

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OFFSET

0,1

REFERENCES

Richard K. Guy, Unsolved Problems in Number Theory, 3rd Edition, Springer, 2004, Section B6, pp. 92-95.

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..3486 (from factordb.com; terms 0..600 from T. D. Noe)

Christophe Clavier, Aliquot Sequences.

factordb.com, Aliquot sequence of 564.

Paul Zimmermann, Latest information.

Index entries for sequences related to aliquot parts.

FORMULA

a(n+1) = A001065(a(n)). - R. J. Mathar, Oct 11 2017

MATHEMATICA

FixedPointList[If[# > 0, DivisorSigma[1, #] - #, 0]&, 564, 100] (* Jean-François Alcover, Mar 28 2020 *)

PROG

(PARI) a(n, a=564)={for(i=1, n, a=sigma(a)-a); a} \\ M. F. Hasler, Feb 24 2018

CROSSREFS

Cf. A098007 (length of aliquot sequences); some other examples: A008885 (starting at 30) .. A008892 (starting at 276), A014360 (starting at 552) .. A014365 (starting at 1134), ..., A171103 (starting at 46758). See link to index for a more complete list.

Cf. A001065.

Sequence in context: A187849 A237029 A183732 * A274471 A252293 A252286

Adjacent sequences: A014358 A014359 A014360 * A014362 A014363 A014364

KEYWORD

nonn

AUTHOR

Paul Zimmermann

STATUS

approved