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A306532 Composite numbers k such that the sum of their aliquot parts divides k+1. 1

%I #8 Feb 28 2019 10:35:00

%S 21,115,329,731,2133,2171,6821,7379,8357,13987,19521,24331,24881,

%T 29491,46001,50579,56789,79421,103729,117409,125159,137881,174109,

%U 176661,226859,235721,257291,357769,492071,499091,560537,584021,704791,776341,822857,850607,908981

%N Composite numbers k such that the sum of their aliquot parts divides k+1.

%e Aliquot parts of 21 are 1, 3, 7 and 22/(1+3+7) = 22/11 = 2.

%p with(numtheory): P:=proc(n) if not isprime(n) and frac((n+1)/(sigma(n)-n))=0 then n; fi; end: seq(P(i),i=2..100000);

%o (PARI) isok(n) = (n!=1) && !isprime(n) && !frac((n+1)/(sigma(n)-n)); \\ _Michel Marcus_, Feb 28 2019

%Y Cf. A203966, A306531.

%K nonn,easy

%O 1,1

%A _Paolo P. Lava_, Feb 22 2019

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Last modified April 18 20:18 EDT 2024. Contains 371781 sequences. (Running on oeis4.)