A391949 Numbers k such that sigma(k) = psi(k) + phi(k) + omega(k)^6.

48896, 77844, 384564, 410484, 505524, 622164, 682644, 718932, 747444, 777684, 783732, 1046430, 1220310, 2014110, 2558430, 3639510, 3642210, 3828510, 3881430, 4093110, 4130910, 13649130, 13806500, 18027344, 21758096, 32745740, 67965966, 136058202, 207512118, 267370496

Offset

1,1

Links

Table of n, a(n) for n=1..30.

Example

48896 is a term since sigma(48896) = 98112 = 73728 + 24320 + 2^6 = psi(48896) + phi(48896) + omega(48896)^6.

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)) + eulerphi(f) + omega(f)^6; } \\ Amiram Eldar, Dec 23 2025

Crossrefs

Cf. A000203 (sigma), A001615 (psi), A000010 (phi), A001221 (omega), A390049, A391312, A391749, A391763, A391908.

Sequence in context: A176373 A237087 A061737 * A385363 A045938 A309100

Adjacent sequences: A391946 A391947 A391948 * A391950 A391951 A391952

Keyword

nonn

Author

S. I. Dimitrov, Dec 23 2025

Extensions

a(27)-a(30) from Amiram Eldar, Dec 23 2025

Status

approved