 # Perfect Number Calculator

Enter a number

The number is

Perfect Number Calculator is a free online tool that displays whether the given number is perfect or not. BYJU’S online Perfect number calculator tool makes the calculation faster, and it shows the result in a fraction of seconds.

## How to Use the Perfect Number Calculator?

The procedure to use the perfect number calculator is as follows:
Step 1: Enter the number in the input field
Step 2: Now click the button “Solve” to get the result
Step 3: Finally, the result such as “Perfect” or “Not Perfect” will be displayed in the output field

### What is Meant by the Perfect Number?

In maths, a perfect number is a positive integer which is equal to the sum of its positive factors (or divisor) excluding the number itself. Suppose the factors of the number 6 are 1, 2, 3 and 6. Now, 1 + 2 + 3 = 6, this satisfies the condition of being a perfect number. Similarly, 28, 496, 8128, etc., are the examples of perfect numbers. The formula to find the perfect numbers is given by:
N = 2p – 1 (2p – 1)
Here, p is a prime number for which 2p – 1 is a Mersenne prime.
Thus, 2p – 1 (2p – 1) or N is an even perfect number if 2p – 1 is prime.