C++ - (Perfect Numbers) An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself), is equal to the number. Write a function perfect that determines whether parameter number is a perfect number.

(Perfect Numbers) An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself), is equal to the number.

For example, 6 is a perfect number, because 6 = 1 + 2 + 3.

Write a function perfect that determines whether parameter number is a perfect number.

Use this function in a program that determines and prints all the perfect numbers between 1 and 1000.

Print the divisors of each perfect number to confirm that the number is indeed perfect.

Challenge the power of your computer by testing numbers much larger than 1000.