The number of odd proper divisors of 3p.6m.21n is

3p×(2×3)m×(3×7)n3p+m+n×2m×7nNo.Of sel =>(p+m+n+1)(n+1)−1

The number of odd proper divisors of 3p.6m.21n is

3p×(2×3)m×(3×7)n3p+m+n×2m×7nNo.Of sel =>(p+m+n+1)(n+1)−1

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The number of odd proper divisors of 3^p.6^m.21ⁿ is

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$(p + m + n) (n - 1)$

$(p + m + n + 1) (n + 1)$

$(p + m + n + 1) (n + 1) - 1$

$(p + m + n) (n + 1)$

answer is A.

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$\begin{array}{l} 3^{p} \times (2 \times 3)^{m} \times (3 \times 7)^{n} \\ 3^{p + m + n} \times 2^{m} \times 7^{n} \end{array}$
No.Of sel $=> (p + m + n + 1) (n + 1) - 1$

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The number of odd proper divisors of 3^p.6^m.21ⁿ is