The Number of odd proper divisors of is :
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3 p ⋅ 6 m ⋅ 2 1 n = 2 m ⋅ 3 ( p + m + n ) ⋅ 7 n Therefore , the required number of proper divisors = numbrer of selections of any number of 3s and 7s [since, for odd divisors 2 must not be selected ] therefore after selection , ( p + m + n + 1 ) ( n + 1 ) − 1