Compatible Numbers Calculator

The Compatible Numbers Calculator is an online tool used to check if two numbers are compatible numbers.

Compatible Numbers Calculator

Eg, Are 30 and 40 compatible numbers? Enter 30 into the first input box and enter 40 into the second input box.

What are compatible numbers?

Compatible numbers refer to the definition of amicable numbers. If a pair of numbers A and B have a set of divisors d_a and d_b, so that the sum of all proper factors except d_a of A minus d_a is just equal to B. At the same time, the sum of all proper factors except d_b of B minus d_b is exactly equal to A. Then, we call A and B compatible numbers.

For example: Are 24 and 28 compatible numbers?

The proper factors of 24 are 1, 2, 3, 4, 6, 8 and 12. There is a divisor 4. In addition to this number, their sum minus 4 is exactly 28.

1 + 2 + 3 + 6 + 8 + 12 – 4 = 32 – 4 = 28

The proper factors of 28 are 1, 2, 4, 7 and 14. There is a divisor 4. In addition to this number, their sum minus 4 is exactly 20.

1 + 2 + 7 + 14 – 4 = 24 – 4 = 20

So, 20 and 28 are compatible numbers.

Commonly used 20 pairs of compatible numbers:

(24, 28)
(30, 40)
(40, 42)
(42, 52)
(48, 60)
(60, 96)
(80, 102)
(80, 104)
(96, 124)
(102, 110)
(126, 182)
(140, 182)
(140, 188)
(156, 210)
(156, 230)
(156, 234)
(174, 184)
(180, 358)
(180, 362)
(198, 204)

How to use the compatible numbers calculator

The procedure to use the compatible numbers calculator is as follows:

1Enter 2 positive integers in the two input boxes respectively.
2Click Calculate button to check whether the input numbers are compatible numbers.
3Click the Reset button to start a new verification.

Solved examples using the compatible numbers calculator

Example 1: Are 60 and 84 compatible numbers?

Enter 60 into the first input box.

Enter 84 into the second input box.

Then click Calculate button, as shown in the figure, 60 and 84 are not compatible numbers.

Example 2: Are 80 and 104 compatible numbers?

Enter 80 into the first input box.

Enter 104 into the second input box.

Then click Calculate button, as shown in the figure, 80 and 104 are compatible numbers.

Compatible Numbers Calculator