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6 = 2^3 - sqrt(2^3 / 2) - 2^3;

28 = 2^5 - sqrt(2^5 / 2) - 2^5;

496 = 2^9 - sqrt(2^9 / 2) - 2^9... more

BUT:

120 = 2^7 - sqrt(2^7 / 2) - FALSE...

5th perfect number: 33550336 = 2^25 - sqrt(2^25 / 2) - 2^25

but:

8386560 = 2^23 - sqrt(2^23 / 2) - FALSE