Perfect Number Calculator
Perfect Number Calculator is a free online tool that helps to verify if a given number is perfect number.
What is Perfect Number Calculator?
Perfect Number Calculator is an online tool that helps to check whether a given number is a perfect number or not. Online perfect number calculator finds if a number is a perfect number or not within a few seconds.
Perfect Number Calculator
NOTE: Enter numbers upto 4 digits and enter natural numbers only.
How to Use the Perfect Number Calculator?
Please follow below steps to check whether the given number is perfect number:
- Step 1: Enter a positive number in the given input box.
- Step 2: Click the "Check" button to check whether the number is perfect number.
- Step 3: Click the "Reset" buuton for different values.
What is a Perfect Number?
A number is said to be perfect the if the sum of all the factors of the number excluding the number itself results in the same number. To find whether a numer is perfect or not, first of all list all the factors of the number, excluding the number. Add all the numbers and check if it is equal to the number itself. If yes, then we can call it as a perfect number. Let us understand this better by looking at an example below.
Solved Examples on Perfect Number Calculator
Example 1:
Check whether '6' is a perfect number?
Solution:
Factors of 6 = 1, 2, 3, 6
Sum of factors excluding 6 is 1 + 2 + 3 = 6.
Here the sum of the factors of 6 excluding is 6.
Therefore 6 is a perfect number.
Example 2:
Check whether '8' is a perfect number?
Solution:
Factors of 8 = 1, 2, 4, 8
Sum of factors excluding 6 is 1 + 2 + 4 = 7.
Here the sum of the factors of 8 excluding is 7.
Therefore 8 is not a perfect number.
Example 3:
Check whether '24' is a perfect number?
Solution:
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
Sum of factors excluding 6 is 1 + 2 + 3 + 4 + 6 + 8 + 12 = 36.
Here the sum of the factors of 24 excluding is 36.
Therefore 24 is not a perfect number.
Similarly,you can try the calculator to find whether the following numbers are perfect or not.
1) 256 2) 496 3) 49