Target Exam

CUET

Subject

Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

If $σ_k(n)$= Sum of kth powers of all the positive divisors of n, n ∈ N, the what is the value of $σ_2(12)$ ?

Options:

210

216

204

212

Correct Answer:

210

Explanation:

The correct answer is option (1) : 210

$σ_2(12)$

Positive divisions of 12 are $ 1, 2,3, 4, 6, 12$

$∴σ_2(12)= 1^2+2^2+3^2+4^2+6^2 +(12)^2$

$=210$