Problem

A number is a perfect number if the sum of its factors (other than the number itself) is...

A number is a perfect number if the sum of its factors (other than the number itself) is equal to the number. For example, 6 is a perfect number because its factors sum to 6, that is, 1 + 2 + 3 = 6. An abundant number has factors whose sum is greater than the number itself. A deficient number is a number with factors whose sum is less than the number itself.

a. Classify each of the following numbers as perfect, abundant, or deficient:

i. 12

ii. 28

iii. 35

b. Find at least one more number that is deficient and

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