QUASIPERFECT NUMBERS WITH THE SAME EXPONENT

摘要

We study some divisibility properties of quasiperfect numbers. We show that if N = (p1p2 · · · pt)2a = m2 is quasiperfect, then 2a + 1 is divisible by 3 and N has at least one prime factor smaller than e721.85. Moreover, we find some lower bounds concerning quasiperfect numbers of the form N = m2 with m squarefree.