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

0,1

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..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.

Formula

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

Mathematica

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

Prog

(PARI) a(n, a=1074)={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. A000203.

Sequence in context: A085338 A250636 A329148 * A031779 A336781 A237213

Adjacent sequences: A014361 A014362 A014363 * A014365 A014366 A014367

Keyword

nonn

Author

Paul Zimmermann

Status

approved