A number is called an -perfect number if
, where is the Sum of the
*e*-Divisor of . If is Squarefree, then . As a result, if
is -perfect and is Squarefree with , then is -perfect. There are no Odd -perfect
numbers.

**References**

Guy, R. K. ``Exponential-Perfect Numbers.'' §B17 in
*Unsolved Problems in Number Theory, 2nd ed.* New York: Springer-Verlag, p. 73, 1994.

Subbarao, M. V. and Suryanarayan, D. ``Exponential Perfect and Unitary Perfect Numbers.''
*Not. Amer. Math. Soc.* **18**, 798, 1971.

© 1996-9

1999-05-25