Conquering Basic Properties of Even Perfect Numbers Using the Gun of Finite Series
Abstract
Mathematicians have been fascinated for centuries by the properties and patterns of
numbers. They have noticed that some numbers are equal to the sum of all of their factors (not
including the number itself). Such numbers are called perfect numbers. Thus a positive integer is
called a perfect number if it is equal to the sum of its proper positive divisors. The search for
perfect numbers began in ancient times. The four perfect numbers 6, 28, 496, and 8128 seem to
have been known from ancient times. In this paper, we will investigate some important basic
properties of perfect numbers.
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