Write an application that displays every perfect number from 1 through 1,000. A perfect number is one that equals the sum of all the numbers that divide evenly into it. For example, 6 is perfect...

Write an application that displays every perfect number from 1 through 1,000. A

perfect number is one that equals the sum of all the numbers that divide evenly into

it. For example, 6 is perfect because 1, 2, and 3 divide evenly into it, and their sum is 6;

however, 12 is not a perfect number because 1, 2, 3, 4, and 6 divide evenly into it, and

their sum is greater than 12. Save the file as Perfect.java.