e-Divisor

$d$ is called an $e$-divisor (or Exponential Divisor) of

$$n={p_1}^{a_1}{p_2}^{a_2}\cdots{p_r}^{a_r}$$

if $d\vert n$ and

$$d={p_1}^{b_1}{p_2}^{b_2}\cdots{p_r}^{b_r}$$

where $b_j\vert a_j$ with $1\leq j\leq r$.

See also e-Perfect Number

References

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

Straus, E. G. and Subbarao, M. V. ``On Exponential Divisors.'' Duke Math. J. 41, 465-471, 1974.