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For any integer $n \geq 1$ , the number of positive divisors of ‘n’ is denoted by d(n). Then for a prime ‘p’, $d (d (d (p^{7})))$ is

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answer is D.

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Detailed Solution

$d (d (d (p^{7}))) = d (d (8)) \begin{array}{l} = d (d (2^{3})) \\ = d (4) \\ = d (2^{2}) \\ = 2 + 1 \\ = 3 \end{array}$

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