A237286 Numbers n such that sigma(n) - n = perfect number (A000396).

6, 25, 28, 496, 652, 8128, 10682, 10828, 33550336, 44655764, 8589869056, 8623554304, 137438691328

Offset: 1

Author

Jaroslav Krizek, Feb 28 2014

Keywords

• nonn
• more

Comments

Also numbers n such that sum of the proper divisors of n (A001065) = perfect number (A000396).

Supersequence of perfect numbers (A000396).

a(14) > 10^12. - Giovanni Resta, Mar 01 2014

Up to a(13), note that the terms that are not perfect are deficient. - Michel Marcus, Mar 12 2014

Examples

			Number 25 is a term because sigma(25) - 25 = 31 - 25 = 6 (perfect number).
		

Crossrefs

Cf. A000203 (sigma(n)).

Programs

PARI

isok(n) = sigma(smn=sigma(n) - n) == 2*smn; \\ Michel Marcus, Mar 01 2014

Extensions

a(10) from Michel Marcus, Mar 01 2014

a(11)-a(13) from Giovanni Resta, Mar 01 2014