Amazing number

An amazing number is name for such even number, the decomposition product of prime numbers has exactly three not necessarily different factors and the sum of all its divisors is equal to twice that number. Find all amazing numbers.

Result

n =  28

Solution:

28=227 1+2+4+7+14+28=228=5628=2\cdot 2\cdot 7 \ \\ 1+2+4+7+14+28 = 2\cdot 28 = 56



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