An integer
is called a super unitary perfect number if
where
is the unitary divisor function. The first
few are 2, 9, 165, 238, 1640, ... (OEIS A038843).
It is not known if there exist any odd super unitary perfect numbers other than 9
and 165 (Yamada 2008).
Sloane, N. J. A. Sequence A038843 in "The On-Line Encyclopedia of Integer Sequences."Yamada,
T. "Unitary Super Perfect Numbers." Math. Pannon.19, 37-47,
2008.
is called a super unitary perfect number if
is the unitary divisor function. The first
few are 2, 9, 165, 238, 1640, ... (OEIS A038843).
It is not known if there exist any odd super unitary perfect numbers other than 9
and 165 (Yamada 2008).
