A394816 Numbers k such that sigma(k) = psi(k) + tau(k) + Omega(k)^5.

3796, 6939, 8541, 23725, 46501, 114829, 274261, 342589, 502021, 798109, 911989, 1299181, 1595269, 1754701, 2096341, 2665741, 3303469, 3531229, 4260061, 4783909, 5922709, 6537661, 7517029, 8929141, 9680749, 10067941, 10865101, 11275069, 12117781, 15306421, 16285789, 17811781, 18335629, 21068749, 21638149

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Example

3796 is a term since sigma(3796) = 7252 = 6216 + 12 + 4^5 = psi(3796) + tau(3796) + Omega(3796)^5.

Prog

(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

Crossrefs

Cf. A000005, A000203, A001615, A001222, A394658, A394738, A394751.

Sequence in context: A109183 A284872 A253280 * A251518 A031793 A234765

Adjacent sequences: A394813 A394814 A394815 * A394817 A394818 A394819

Keyword

nonn

Author

S. I. Dimitrov, Apr 02 2026

Status

approved