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Is 8128 a perfect number?
Given :
The given number is 8128.
To do :
We have to find whether 8128 is a perfect number.
Solution :
A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.
Prime factorisation of 8128 is,
$8128=2\times2\times2\times2\times2\times2\times127$
Diviors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064.
Sum of the divisors$=1+2+4+8+16+32+64+127+254+508+1016+2032+4064=8128$
Therefore, 8128 is a perfect number.
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