A395403 Numbers k such that sigma(k) = psi(k) + tau(k)^3 + Omega(k)^3.

1528, 6244, 6604, 14049, 14859, 24353, 39025, 41275, 62557, 80899, 123708, 131516, 152303, 188881, 199771, 263809, 451129, 477139, 506447, 539010, 563521, 596011, 600066, 825769, 873379, 1085007, 1142053, 1312801, 1388491, 1500121, 1586611, 1666850, 2137009, 2260219, 2505377, 2624041, 2775331

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Example

1528 is a term since sigma(1528) = 2880 = 2304 + 8^3 + 4^3 = psi(1528) + tau(1528)^3 + Omega(1528)^3.

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)^3 + bigomega(f)^3; } \\ Amiram Eldar, Apr 21 2026

Crossrefs

Cf. A000005, A000203, A001615, A001222, A394738, A395402.

Sequence in context: A226700 A226701 A372753 * A235170 A252414 A333721

Adjacent sequences: A395400 A395401 A395402 * A395404 A395405 A395406

Keyword

nonn

Author

S. I. Dimitrov, Apr 21 2026

Status

approved