Abundant Number Calculator

Welcome to use the Abundant Number Calculator, which can help you quickly verify whether the number is an abundant number.

Abundant Number Calculator

Eg, Is 24 an abundant number? Enter 24 into the input box and click Calculate button.

Calculate Reset

What's the abundant number?

An abundant number, also known as an excessive number, means that the sum of all proper factors of a positive integer is greater than itself, then the positive integer is called an abundant number. If the sum of all proper factors is less than itself, then the number is called a deficient number. Obviously, a perfect number is not an abundant number.

For example: Is 60 an abundant number?

The proper factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 and 30. Their sum is

1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 = 108

108 > 60.

So, 60 is an abundant number.

Abundant numbers between 1 and 100 are:

How to use the abundant number calculator

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

1Enter the positive number.
2Click Calculate button to verify whether the input number is an abundant number.
3Click the Reset button to start a new verification.

Solved examples using the abundant number calculator

Example 1: Is 25 an abundant number?

Enter 25 into the input box and click Calculate button, as shown in the figure, 25 is not an abundant number.

The sum of all proper factors of 25 is:

1 + 5 = 6 < 25

Example 2: Is 496 an abundant number?

Enter 496 into the input box and click Calculate button, as shown in the figure, 496 is not an abundant number.

The sum of all proper factors of 496 is:

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

Example 3: Is 1000 an abundant number?

Enter 1000 into the input box and click Calculate button, as shown in the figure, 1000 is an abundant number.

The sum of all proper factors of 1000 is:

1 + 2 + 4 + 5 + 8 + 10 + 20 + 25 + 40 + 50 + 100 + 125 + 200 + 250 + 500 = 1340 > 1000

Abundant Number Calculator