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CUET
-- Applied Mathematics - Section B2
Numbers, Quantification and Numerical Applications
If $σ_k(n)$= Sum of kth powers of all the positive divisors of n, n ∈ N, the what is the value of $σ_4(3)$ ?
86
84
82
80
The correct answer is option (3) : 82
$σ_4(3)$
Positive divisions of 4 are $1,3$
$∴σ_4(3)=1^4+3^4$
$=1+81= 82$