A014364 Aliquot sequence starting at 1074.

1074, 1086, 1098, 1320, 3000, 6360, 13080, 26520, 64200, 136680, 303960, 668040, 1448760, 2897880, 6778920, 14760600, 31761720, 75003840, 189623520, 475142400, 1262108388, 1723154620, 2250655556, 1742856988

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

• Amiram Eldar, Table of n, a(n) for n = 0..2194 (terms 0..881 from R. J. Mathar)
• Christophe Clavier, Aliquot Sequences.
• factordb.com, Aliquot sequence of 1074.
• 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. A000203.

Programs

Mathematica

FixedPointList[If[# > 0, DivisorSigma[1, #] - #, 0] &, 1074, 100] (* Jean-François Alcover, Mar 28 2020 *)

PARI

a(n, a=1074)={for(i=1, n, a=sigma(a)-a); a} \\ M. F. Hasler, Feb 24 2018

Formula

a(n+1) = A000203(a(n))-a(n). - R. J. Mathar, Oct 08 2017