Write an application named Perfect that displays every perfect number from 1 through 10,000. A number is perfect if it equals the sum of all the smaller positive integers that divide evenly into it. For example, 6 is perfect because 1, 2, and 3 divide evenly into it and their sum is 6.

Required code is given and the output is also attached.

Explanation:

public class Perfect {

   public static void main(String[] args) {

       int i, num, sum;

       System.out.println("The perfect numbers between 1 and 1000 are");

       num = 1;

       while (num <= 1000) {

           sum = 0;

           for (i = 1; i < num; i++)

               if (num % i == 0)

                   sum += i;

           if (sum == num)

               System.out.println(num + " ");

           num++;

       }

   }

}