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A194771 Even numbers that divide the sum of their even divisors. 3

%I #16 May 30 2020 04:12:15

%S 2,12,56,240,992,1344,16256,60480,65520,1047552,4357080,47139840,

%T 67100672,91065600,285981696,919636480,2758909440,2952609792,

%U 17179738112,28364878080,63996791040,87722956800,102002360320,132867440640,137438691328

%N Even numbers that divide the sum of their even divisors.

%C Since the sum of even divisors of an odd number is zero, every odd number divides its sum of even divisors. - _Nathaniel Johnston_, Sep 02 2011

%F a(n) = 2*A007691(n).

%e The divisors of 56 are { 1, 2, 4, 7, 8, 14, 28, 56 } and the sum of the even divisors is 2 + 4 + 8 + 14 + 28 + 56 = 112, hence 56 divides 112, so 56 is in the sequence.

%p with(numtheory):for n from 1 to 10000000 do if(sigma(n) mod n = 0)then print(2*n):fi:od:

%Y Cf. A146076.

%K nonn

%O 1,1

%A _Michel Lagneau_, Sep 02 2011

%E a(11)-a(25) from _Nathaniel Johnston_, Sep 02 2011

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)