A066365 f-perfect numbers, where f(m) = sigma(m)-m.

1, 1134, 1476, 1530, 16600, 282555

Offset: 1

Author

Joseph L. Pe, Dec 21 2001

Keywords

• nonn
• more

Comments

f-perfect numbers for an arithmetical function f is defined in A066218.

Also, numbers m such that 3*sigma(m)-2*m = A007429(m). - Max Alekseyev, Jul 30 2025

Links

• J. Pe, On a Generalization of Perfect Numbers, J. Rec. Math., 31(3) (2002-2003), 168-172.

Crossrefs

Cf. A007429, A066218.

Programs

Mathematica

f[x_] := Abs[DivisorSigma[1, x] - x]; Select[ Range[2, 10^6], 2 * f[ # ] == Apply[ Plus, Map[ f, Divisors[ # ] ] ] & ]

Extensions

Edited and a(1)=1 inserted by Max Alekseyev, Jul 30 2025