So I was researching even perfect numbers and found a few facts about them.

1. Every even perfect number ends in a '6' or an '8'.

2. All even perfect numbers are triangular numbers.

3. Every even perfect number, other than 6, is the sum of consecutive odd cubes.

4. No odd perfect numbers are known, but if one does exist, it has the following characteristics:

-it is a perfect square multiplied by an odd power of a single prime

-it has at least 8 distinct prime factors

-it has at least 75 prime factors (not necessarily distinct)

-its largest prime factor is greater than 10^{7}

-its second largest prime factor is greater than 10^{4}

-its third largest prime factor is greater than 10^{2}

-it is divisible by a prime component greater that 10^{20}

Even Perfect Numbers