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%I #6 Apr 08 2026 20:06:06
%S 3796,6939,8541,23725,46501,114829,274261,342589,502021,798109,911989,
%T 1299181,1595269,1754701,2096341,2665741,3303469,3531229,4260061,
%U 4783909,5922709,6537661,7517029,8929141,9680749,10067941,10865101,11275069,12117781,15306421,16285789,17811781,18335629,21068749,21638149
%N Numbers k such that sigma(k) = psi(k) + tau(k) + Omega(k)^5.
%e 3796 is a term since sigma(3796) = 7252 = 6216 + 12 + 4^5 = psi(3796) + tau(3796) + Omega(3796)^5.
%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) + bigomega(f)^5; } \\ _Amiram Eldar_, Apr 02 2026
%Y Cf. A000005, A000203, A001615, A001222, A394658, A394738, A394751.
%K nonn
%O 1,1
%A _S. I. Dimitrov_, Apr 02 2026