Given a number, there is an algorithm described here to find it's sum and number of factors. For example, let us take the number 1225?	Choose the correct choice.
A) 1767
B) 1800
C) 1812
D) 1890
E) none

Rationale: solving for 1225 = 52 × 72 sum of divisors = ( ap + 1 – 1 ) / ( a – 1 ) × ( bq + 1 – 1 ) / ( b – 1 ) here a = 5 , b = 7 prime factors p = 2 and q = 2 sum of divisors = ( 53 – 1 ) / ( 5 – 1 ) × ( 73 – 1 ) / ( 7 – 1 ) = ( 124 / 4 ) × ( 342 / 6 ) = ( 31 × 57 ) = 1767 option a
Answer: A