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A015768 Numbers k such that phi(k) | sigma_10(k). 10

%I #19 Sep 08 2022 08:44:40

%S 1,2,3,6,22,33,66,166,250,375,498,750,1506,1826,5478,8250,10375,10873,

%T 16566,17762,20750,21746,31125,32619,41666,53286,62250,62499,65238,

%U 98250,110066,119603,124998,177153,195382,228250,239206

%N Numbers k such that phi(k) | sigma_10(k).

%C sigma_10(k) = A013958(k) is the sum of the 10th powers of the divisors of k.

%H Amiram Eldar, <a href="/A015768/b015768.txt">Table of n, a(n) for n = 1..623</a>

%t Select[Range[240000], Divisible[DivisorSigma[10, #], EulerPhi[#]] &] (* _Amiram Eldar_, Nov 06 2019 *)

%o (Magma) [k:k in [1..240000]| IsIntegral(DivisorSigma(10,k)/EulerPhi(k))]; // _Marius A. Burtea_, Nov 06 2019

%Y Cf. A000010, A013958.

%Y Cf. A020492, A015759, A015761, A015762, A015763, A015764, A015765, A015766, A015767, A015769, A015770, A015771, A015773, A015774, A094470.

%K nonn

%O 1,2

%A _Robert G. Wilson v_

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Last modified June 11 05:33 EDT 2024. Contains 373289 sequences. (Running on oeis4.)