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

Offset

1,1

Links

Table of n, a(n) for n=1..23.

Example

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

Maple

with(numtheory); P:=proc(q, h) local n;  for n from 1 to q do
if n+h>0 then if type(sigma(n)/(n+h), integer) then print(n); fi; fi; od; end: P(10^9, 10);

Mathematica

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

Prog

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

Crossrefs

Cf. A045770, A067702, A088833, A181598, A223611, A274551-A274564, A274566.

Sequence in context: A349858 A144506 A177072 * A125471 A132010 A126866

Adjacent sequences: A274562 A274563 A274564 * A274566 A274567 A274568

Keyword

nonn

Author

Paolo P. Lava, Jul 06 2016

Extensions

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

Status

approved