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 $σ_4(3)$ ?

Options:

86

84

82

80

Correct Answer:

82

Explanation:

The correct answer is option (3) : 82

$σ_4(3)$

Positive divisions of 4 are $1,3$

$∴σ_4(3)=1^4+3^4$

$=1+81= 82$