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A076231 Numbers k such that sigma(k)/k, sigma_3(k)/k and sigma_5(k)/k are all integers. 4

%I #20 May 09 2024 02:55:25

%S 1,6,120,672,8128,30240,32760,33550336,459818240,1379454720,

%T 1476304896,8589869056,31998395520,51001180160,66433720320,

%U 137438691328,153003540480,403031236608,30823866178560,796928461056000,6088728021160320,14942123276641920,212517062615531520

%N Numbers k such that sigma(k)/k, sigma_3(k)/k and sigma_5(k)/k are all integers.

%H Amiram Eldar, <a href="/A076231/b076231.txt">Table of n, a(n) for n = 1..86</a>

%o (PARI) isok(n) = !(sigma(n) % n) && !(sigma(n, 3) % n) && !(sigma(n, 5) % n); \\ _Michel Marcus_, Dec 26 2013

%Y Intersection of A007691, A046763 and A055709.

%Y Cf. A000203, A001158, A001160, A007691, A046763, A055709, A076233, A076234.

%K nonn

%O 1,2

%A _Labos Elemer_, Oct 03 2002

%E a(16)-a(20) from _Donovan Johnson_, May 08 2010

%E a(21)-a(23) from _Amiram Eldar_, May 09 2024

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Last modified September 9 01:17 EDT 2024. Contains 375759 sequences. (Running on oeis4.)