Betrothed Numbers Calculator

The Betrothed Numbers Calculator is an online tool used to check if two numbers are betrothed numbers.

Betrothed Numbers Calculator

Eg, Are 48 and 75 betrothed numbers? Enter 48 into the first input box and enter 75 into the second input box.

What are the betrothed numbers?

The betrothed numbers are also called quasi-amicable numbers. If there are two positive integers, the sum of all proper factors except 1 of either number is equal to the other number, then we call these two integers betrothed numbers. Note that the difference with amicable numbers is that 1 is excluded.

For example: Are 140 and 195 betrothed numbers?

The sum of all proper factors except 1 of 140 is:

2 + 4 + 5 + 7 + 10 + 14 + 20 + 28 + 35 + 70 = 195

The sum of all proper factors except 1 of 195 is:

3 + 5 + 13 + 15 + 39 + 65 = 140

As you can see, the sum of their factors is exactly equal to the other number. So, 140 and 195 are betrothed numbers.

Top ten betrothed numbers

48 and 75
140 and 195
1050 and 1925
1575 and 1648
2024 and 2295
5775 and 6128
8892 and 16587
9504 and 20735
62744 and 75495
186615 and 206504

How to use the betrothed numbers calculator

The procedure to use the betrothed 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 betrothed numbers.
3Click the Reset button to start a new verification.

Solved examples using the betrothed numbers calculator

Example 1: Are 60 and 80 betrothed numbers?

Enter 60 into the first input box.

Enter 80 into the second input box.

Then click Calculate button, as shown in the figure, 60 and 80 are not betrothed numbers.

The sum of all proper factors except 1 of 60 is:

2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 = 107

The sum of all proper factors except 1 of 80 is:

2 + 4 + 5 + 8 + 10 + 16 + 20 + 40 = 105

Example 2: Are 1050 and 1925 betrothed numbers?

Enter 1050 into the first input box.

Enter 1925 into the second input box.

Then click Calculate button, as shown in the figure, 1050 and 1925 are betrothed numbers.

The sum of all proper factors except 1 of 1050 is:

2 + 3 + 5 + 6 + 7 + 10 + 14 + 15 + 21 + 25 + 30 + 35 + 42 + 50 + 70 + 75 + 105 + 150 + 175 + 210 + 350 + 525 = 1925

The sum of all proper factors except 1 of 1925 is:

5 + 7 + 11 + 25 + 35 + 55 + 77 + 175 + 275 + 385 = 1050

Betrothed Numbers Calculator