  We begin by introducing an extension of the traditional abundancy index to
imaginary quadratic rings with unique factorization. After showing that many of
the properties of the traditional abundancy index continue to hold in our
extended form, we investigate what we call $n$-powerfully solitary numbers in
these rings. This definition serves to extend the concept of solitary numbers,
which have been defined and studied in the integers. We end with some open
questions and a conjecture.
