Write a C++ program that displays all the perfect integers up to a number entered by the user. A perfect integer is a number which is equal to the sum of all its factors except itself. For example, 6 is a perfect number because the factors of 6 are 1, 2 and 3. The sum of the factors are 1 + 2 + 3 = 6. There are three perfect integers between 1 and 1000.

Here is my output.

Please enter the stopping number for the Perfect Integer: 1000 6 is a Perfect Integer. 28 is a Perfect Integer. 496 is a Perfect Integer.