hyperdeficient

Adjective

 * 1) Extremely deficient.
 * 2)  Having the property that, for some positive integer k, δk(n) > 0, where δk(n) = n(k+1) +(k-1) –kσ(n) and σ(n) is the sum of the positive divisors of n.

Usage notes
In the case where k=1, a number is considered to be deficient.