The Challenge:

An interesting curiosity is that numbers are either "abundant", "deficient", or "perfect". For example, if after adding all the factors of a number except itself, that number is abundant if the sum is greater than the number. If the sum is less than the number, then the number is deficient and if the sum is equal to the number, then the number is perfect.

For Example:

45's factors 1 + 3 + 5 + 9 + 15 = 33 ///// 33 < 45 therefore 45 is deficient

24's factors 1 + 2 + 3 +4 + 6 + 8 + 12 = 36 ///// 36 > 24 therefore 24 is abundant

28's factors 1 + 2 + 4 + 7 + 14 = 28 ///// 28 =28 therefore 28 is perfect

You Try:

Classify the numbers 10 to 20

The Challenge:

Rendering a solution similar to the examples above, what is 496?

Mega Challenge:

Rendering a solution similar to the examples above, what is 8128?

The Solution:

Should you decide to accept the challenge and mega challenge, communicate your solution to Mister Goodmath at "rooneym@mistergoodmath.org". Great solutions will be featured on T.V. during WAVE morning announcements.
 

The Hint:

Consider weight in your solution.