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%I #6 Apr 07 2026 00:40:57
%S 5375,13650,66066,157794,197106,288834,397535,459186,524706,747474,
%T 917826,1009554,1206114,1533714,1900626,2031666,2450994,2752386,
%U 2909634,3407586,3761394,4324866,5137314,5569746,5792514,6251154,6487026,6971874,8806434,9369906,10247874,10549266,12121746,12449346
%N Numbers k such that sigma(k) = psi(k) + tau(k) + Omega(k)^4.
%e 5375 is a term since sigma(5375) = 6864 = 6600 + 8 + 4^4 = psi(5375) + tau(5375) + Omega(5375)^4.
%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)^4; } \\ _Amiram Eldar_, Mar 31 2026
%Y Cf. A000005, A000203, A001615, A001222, A394658, A394738.
%K nonn
%O 1,1
%A _S. I. Dimitrov_, Mar 31 2026