Target Exam

CUET

Subject

-- Applied Mathematics - 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 $σ_3(9)$ ?

Options:

747

757

767

767

Correct Answer:

757

Explanation:

The correct answer is option (2) : 757

$σ_3(9)$

Positive divisions of 9 are $1,3, 9$

$∴σ_3(9)=1^3+3^3+9^3$

$1+27+729$

$=757$