Perfect Number Calculator

Welcome to use the Perfect Number Calculator, which can quickly help you verify whether the number is a perfect number.

Eg, Is 28 a perfect number? Enter 28 into the input box and click Calculate button.

What's the perfect number?

The perfect number is a positive integer, which is equal to the sum of its proper factors. The proper factors refer to all factors except itself.

For example: Is 28 a perfect number?

The factors of 28 are 1, 2, 4, 7, 14 and 28. The proper factors of 28 are 1, 2, 4, 7, 14 and their sum is

1 + 2 + 4 + 7 + 14 = 28

Obviously, the sum of all proper factors of 28 is equal to 28 itself. So, 28 is a perfect number.

So far, there are 51 perfect numbers have been found, and 8 perfect numbers are commonly used:

The procedure to use the perfect number calculator is as follows:

Enter 120 into the input box and click Calculate button, as shown in the figure, 120 is not a perfect number.

Enter 496 into the input box and click Calculate button, as shown in the figure, 496 is a perfect number.

The proper factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124 and 248. Their sum is

1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496

So, 496 is a perfect number.