login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A146542
Numbers m such that sigma(m) is a perfect number.
2
5, 12, 427, 10924032, 16125952, 22017387, 24376323, 32501857, 33288097, 3757637632, 6241076643, 8522760577, 45091651584, 66563866624, 86692869921, 137421905953, 137437511683, 727145809044307968, 1152771972099211264, 845044701535107443245558061611352064
OFFSET
1,1
LINKS
EXAMPLE
The divisors of 5 are 1 and 5, which add up to 6. 6 is a perfect number because its proper divisors are 1, 2 and 3, which also add up to 6.
MAPLE
with(numtheory); P:=proc(q) local n; for n from 1 to q do
if sigma(sigma(n))=2*sigma(n) then print(n);
fi; od; end: P(10^9); # Paolo P. Lava, Oct 22 2013
PROG
(PARI) isok(n) = sigma(sigma(n)) == 2*sigma(n); \\ Michel Marcus, Oct 22 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Howard Berman (howard_berman(AT)hotmail.com), Oct 31 2008
EXTENSIONS
Two missing terms added and a(10)-a(19) from Donovan Johnson, Jan 20 2012
a(20) from Daniel Suteu, May 23 2022
STATUS
approved