This nal project discusses a prime factor q of an odd perfect number x satisfying the inequality q < (3x)1=3. This is a review of some parts of Acquaah and Konyagin's paper [International Journal of Number Theory, 8 (2012), 1537- 1540]. The result of a prime factor of an odd perfect number x is determined by using the concept of the relationship between sigma function and perfect number. …