Question

I am an abundant number less than 25. The sum of all my factors other than myself is 22.who am I?

Answer 1

Answer:

number n is said to be Abundant Number if sum of all the proper divisors of the number denoted by sum(n) is greater than the value of the number n. And the difference between these two values is called the abundance.

Mathematically, if below condition holds the number is said to be Abundant number:

sum(n)> n

abundance = sum(n) - n

sum(n): aliquot sum - The sum of all proper divisors of n

Given a number n, our task is to find if this number is Abundant number or not.

The first few Abundant Numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66 …..

Abundant Numbers

Examples :

Input: 21

Output: NO

Input: 12

Output: YES

Input: 17

Output: NO

Answer 2

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