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 $σ_3(4)$ ?

Options:

65

67

73

77

Correct Answer:

73

Explanation:

The correct answer is option (3) : 73

$σ_3(4)$

Positive divisions of 4 are $ 1, 2, 4$

$∴σ_2(12)= 1^3+2^3+4^3$

$=1+8+64$

$=73$