Question

The sum of proper divisors of $504$ is

• A. $1200$
• B. $1670$
• C. $1560$
• D. $1056$

Answer 1

The correct option is D $1056$

The number $504$ can be written as $504=2^3\times 3^2\times 7$.

The proper divisors of $504$ are $1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,252$

Now sum of the proper divisors of $504$ is $1+2+3+4+6+7+8+9+12+14+18+21+24+28+36+42+56+63+72+84+126+252=1056$