A274565 Numbers k such that sigma(k) == 0 (mod k+10).

14, 176, 1376, 3230, 3770, 6848, 114256, 125696, 544310, 561824, 740870, 2075648, 4199030, 4607296, 8436950, 33468416, 134045696, 199272950, 624032630, 1113445430, 1550860550, 85905593344, 2199001235456, 35184284008448

Offset: 1

Author

Paolo P. Lava, Jul 06 2016

Keywords

• nonn
• more

Examples

			sigma(14) mod (14 + 10) = 24 mod 24 = 0.
		

Crossrefs

Contains subsequence A223611.

Contains 2 * odd terms of A223609.

Cf. A045770, A067702, A088833, A181598, A274551, A274552, A274553, A274554, A274556, A274557, A274558, A274559, A274560, A274561, A274562, A274563, A274564, A274566.

Programs

Magma

[n: n in [1..2*10^6] | SumOfDivisors(n) mod (n+10) eq 0 ]; // Vincenzo Librandi, Jul 06 2016

Mathematica

k = 10; Select[Range[Abs@k+1, 10^6], Mod[DivisorSigma[1, #], # + k] == 0 &] (* Vincenzo Librandi, Jul 06 2016 *)

Extensions

a(13)-a(23) from Giovanni Resta, Jul 06 2016

a(24) from Max Alekseyev, May 29 2025