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%I #15 Jul 07 2026 07:55:49
%S 52,117,325,637,1573,3757,4693,6877,10933,12493,17797,21853,24037,
%T 28717,36517,45253,48373,58357,65533,69277,81133,89557,102973,122317,
%U 132613,137917,148837,154453,165997,209677,223093,243997,251173,288613,296413,320437,345397,362557,389077,416533,425893,474253,484237
%N Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^3.
%C 13*p^2 is a term for all primes p <> 13. - _Marco Zárate_, Jul 03 2026
%e 52 is a term since sigma(52) = 98 = 84 + 6 + 2^3 = psi(52) + tau(52) + omega(52)^3.
%o (PARI) isok(k) = {my(f = factor(k)); sigma(f) == prod(i=1, #f~, (f[i, 1]+1) * f[i, 1]^(f[i, 2]-1)) + numdiv(f) + omega(f)^3;} \\ _Amiram Eldar_, Jan 05 2026
%Y Cf. A000203 (sigma), A001615 (psi), A000005 (tau), A001221 (omega), A386637, A394738.
%K nonn,changed
%O 1,1
%A _S. I. Dimitrov_, Jan 05 2026