OFFSET
1,1
COMMENTS
From a list of about 5000 multiperfect numbers, 38 numbers were found with the property, all having k <= 9, the largest was the only one having k=9. A091443 uses sopfr with repetition.
Conjecture: the sequence is finite.
LINKS
Sven Simon, Table of n, a(n) for n = 1..38 [Conjectured to be complete]
Achim Flammenkamp, The Multiply Perfect Numbers Page (See here for the latest information about the search)
Eric Weisstein's World of Mathematics, Multiperfect numbers
EXAMPLE
a(0) = 120 = 2^3*3*5, sopf(120) = 2+3+5 = 10.
CROSSREFS
KEYWORD
nonn
AUTHOR
Sven Simon, Feb 19 2006
STATUS
approved