Question

A positive integer is called a perfect number if it is equal to the sum of all of its positive divisors, excluding itself. For example, 6 is the first perfect number because 6 = 3 + 2 + 1. The next is 28 = 14 + 7 + 4 + 2 + 1. There are four perfect numbers less than 10,000. Write a program to find all these four numbers.

Answer 1

i = 1

while i < 10001:

   total = 0

   x = 1

   while x < i:

       if i % x == 0:

           total += x

       x+=1

   if total == i:

       print(str(i)+" is a perfect number")

   i += 1

When you run this code, you'll see that 6, 28, 496, and 8128 are all perfect numbers.