A divisor, or factor, of an integer n is an integer that divides n evenly without a remainder. A proper divisor of n is a divisor of n that is not equal to n. For example, the proper divisors of 8 are...

A divisor, or factor, of an integer n is an integer that divides n evenly without a remainder. A proper divisor of n is a divisor of n that is not equal to n. For example, the proper divisors of 8 are 1, 2, and 4. Two integers are said to be amicable if each is the sum of the proper divisors of the other. For example, 220 and 284 are amicable. The proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110. The sum of these divisors is 284. Further, the proper divisors of 284 are 1, 2, 4, 71, and 142, and the sum of these divisors is 220. Write a Java program that finds the first five pairs of amicable integers.