Let a divisor d of n be called a 1-ary (or unitary) divisor if d⊥n/d (i.e., d is relatively prime to n/d). Then d is called a k-ary divisor of n, written d|_k n, if the greatest common (k - 1)-ary divisor of d and (n/d) is 1. In this notation, d|n is written d|_0 n, and d∥n is written d|_1 n. p^x is an infinitary divisor of p^y (with y>0) if p^x |_(y - 1) p^y. Suryanarayana unfortunately uses a different and conflicting definition.

biunitary divisor | divisor | greatest common divisor | infinitary divisor | unitary divisor