Highly Influenced

@inproceedings{Eggleton2007UpperBO, title={Upper Bounds on the Sum of Principal Divisors of an Integer}, author={Roger B. Eggleton and WILLIAM P. GALVIN}, year={2007} }

- Published 2007

A prime-power is any integer of the form p", where p is a prime and a is a positive integer. Two prime-powers are independent if they are powers of different primes. The Fundamental Theorem of Arithmetic amounts to the assertion that every positive integer N is the product of a unique set of independent prime-powers, which we call the principal divisors of N. For example, 3 and 4 are the principal divisors of 12, while 2, 5 and 9 are the principal divisors of 90. The case N = 1 fits this… CONTINUE READING

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