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A325654 Numbers m with a divisor d satisfying sigma(d) = 2*m. 1

%I #17 Sep 08 2022 08:46:24

%S 6,28,496,8128,60480,65520,4357080,33550336,47139840,91065600,

%T 285981696,2758909440,8589869056,87722956800,132867440640,

%U 137438691328,306007080960,806062473216,1409150457792,363485766938112,12177456042320640,29884246553283840

%N Numbers m with a divisor d satisfying sigma(d) = 2*m.

%C Even perfect numbers from A000396 are terms.

%C The arrangement of A007691(k)*A054030(k)/2 which A054030(k) is an even number.

%C Subsequence of A323652.

%C The arrangement of sigma(A325637(n))/2 from small to large. - _Jinyuan Wang_, Jun 09 2019

%H Vaclav Kotesovec, <a href="/A325654/b325654.txt">Table of n, a(n) for n = 1..1000</a>

%e 60480 is a term because 30240 divides 60480 and sigma(30240) = 120960 = 2*60480.

%o (Magma) [n: n in [1..100000] | #[d: d in Divisors(n) | SumOfDivisors(d) eq 2*n] gt 0]

%o (PARI) isok(n) = fordiv(n, d, if (sigma(d) == 2*n, return(1))); 0; \\ _Michel Marcus_, May 12 2019

%Y Cf. A000203, A000396, A007691, A054030, A323652, A325637.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, May 12 2019

%E More terms from _Jinyuan Wang_, Jun 09 2019

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)