A274562 Numbers k such that sigma(k) == 0 (mod k-8).

5, 6, 7, 9, 10, 11, 12, 14, 17, 38, 92, 168, 170, 248, 752, 988, 2528, 2808, 8648, 12008, 34688, 63248, 117808, 526688, 531968, 820808, 1292768, 1495688, 2095208, 2112512, 3477608, 4495808, 8419328, 12026888, 13192768, 16102808, 26347688, 29322008, 33653888, 169371008, 173631608, 293947648, 537116672, 883927808, 2147975168, 2493705728, 5556840416, 13092865928, 42783299288, 69662739968, 80999455688, 217898810368, 546409576448, 1020401174528, 1081071376208, 1282330216448, 1473186024448, 1577975316488, 1608005456768

Offset

1,1

Links

Max Alekseyev, Table of n, a(n) for n = 1..100

Example

sigma(9) mod (9 - 8) = 13 mod 1 = 0.

Mathematica

Select[Range[1, 10^6], # - 8 != 0 && Mod[DivisorSigma[1, #], # - 8] == 0 &] (* Michael De Vlieger, Jul 05 2016 *)

Prog

(PARI) isok(k) = sigma(k) % (k-8) == 0; \\ Michel Marcus, Oct 14 2025

Crossrefs

Contains subsequences: A125248 and 2 times odd terms of A125247.

Cf. A000203, A045770, A067702, A088833, A181598, A274551, A274552, A274553, A274554, A274556, A274557, A274558, A274559, A274560, A274561, A274563, A274564, A274565, A274566.

Sequence in context: A196026 A191850 A066263 * A178096 A246782 A089192

Adjacent sequences: A274559 A274560 A274561 * A274563 A274564 A274565

Keyword

nonn

Author

Paolo P. Lava, Jul 05 2016

Extensions

a(33)-a(59) from Giovanni Resta, Jul 05 2016

Terms 5,6,7 inserted by Max Alekseyev, Jun 04 2025

Status

approved