The numbers 220 and 284 are known as amicable numbers. The reason is the sum of the proper divisions of 220 equals 284 and what is even more interesting is the sum of the proper divisors of 284 equals 220.

So far about 100 pairs of amicable numbers are known. Can you find some in four digits?

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1184 & 1210

2620 & 2924

5020 & 5564

6232 & 6368

are the sets of 4 digit amicable no.’s