If $σ_k(n)$= Sum of kth powers of all the positive divisors of n, n ∈ N, the what is the value of $σ_2(12)$ ?
Answer & explanation
Correct answer: option 1
The correct answer is option (1) : 210
$σ_2(12)$
Positive divisions of 12 are $ 1, 2,3, 4, 6, 12$
$∴σ_2(12)= 1^2+2^2+3^2+4^2+6^2 +(12)^2$
$=210$