No 8

What property do the numbers 3 and 1501 share?

3 has factors 1 and 3 giving a total of 4 = 2² a square number: .

1501 = 19 x 79 a product of two primes and therefore has factors 1, 19, 79 and 1501.

The total of these factors is 1600 = 40² a square number.

Check that 22 also has this property.

Can you find the other three numbers less than 100 that have this property?

 

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