What is what are the four abundant numbers between 1 and 25?

An abundant number is a positive integer that is the sum of its proper divisors (excluding the number itself).

The four abundant numbers between 1 and 25 are:

1. 12 - The proper divisors of 12 are 1, 2, 3, 4, and 6. The sum of these divisors is 16, which is greater than 12.

2. 18 - The proper divisors of 18 are 1, 2, 3, 6, 9. The sum of these divisors is 21, which is greater than 18.

3. 20 - The proper divisors of 20 are 1, 2, 4, 5, and 10. The sum of these divisors is 22, which is greater than 20.

4. 24 - The proper divisors of 24 are 1, 2, 3, 4, 6, 8, and 12. The sum of these divisors is 28, which is greater than 24.

Therefore, the four abundant numbers between 1 and 25 are 12, 18, 20, and 24.