On 2-powerfully Perfect Numbers in Three Quadratic Rings
Defant, Colin
Original · EN
Using an extension of the abundancy index to imaginary quadratic rings with unique factorization, we define what we call n-powerfully perfect numbers in these rings. This definition serves to extend the concept of perfect numbers that have been defined and studied in the integers. We investigate the properties of 2-powerfully perfect numbers in the rings OQ(√-1), OQ(√-2), and OQ(√-7), the three imaginary quadratic rings with unique factorization in which 2 is not a prime.
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