If N denotes the set of all positive integers and if f: N \to N is defined by f(n)= the sum of positive divisors of n then, f (2^k \cdot 3), where k is a positive integers, is

Correct Answer is : 3(2k+1−1)

EAMCET Engineering 2005 Solved Paper

Section: Mathematics

Question : 83 of 160

Marks: +1, -0

If N denotes the set of all positive integers and if f:N→N is defined by f(n)= the sum of positive divisors of n then, f(2k⋅3), where k is a positive integers, is

2k+1−1
2(2k+1−1)
3(2k+1−1)
4(2k+1−1)

Validate

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