JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f\;:N \to N

is defined by

f\left( n \right) =

the sum of positive divisors of

n

, then

f\left( {{2^k} \times 3} \right),

where

k

is a positive integer, is

View answer and explanation

Correct option: C

3\left( {{2^{k + 1}} - 1} \right)

Option C (

3\left( {{2^{k + 1}} - 1} \right)

) is correct because it represents the sum of the positive divisors of

2^k \times 3

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