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

Offset: 0

Author

Paul Zimmermann

Keywords

• nonn

References

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

Links

• Tyler Busby, Table of n, a(n) for n = 0..3493 (from factordb.com; terms 0..600 from T. D. Noe, terms 601..3486 from Amiram Eldar)
• Christophe Clavier, Aliquot Sequences.
• factordb.com, Aliquot sequence of 564.
• Paul Zimmermann, Latest information.
• Index entries for sequences related to aliquot parts.

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.

Programs

Mathematica

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

PARI

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

Formula

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