Is that even possible?

• Factors of 36 are
• 1 and 36
• 2 and 18
• 3 and 12
• 4 and 9
• 6 and 6
• because 36 is a square number it has that repeated factor of 6.
• as an ordered list we have
• 1, 2, 3, 4, 6, 9, 12, 18, 36.
• Because of the repeated factor which we only write once this number has an odd number of factors.
• This occurs in all square numbers.
• So your answer is ...
• $YES$

Consider a function $n(x)$ such that it assigns all positive integral values of $x$ to their respective $\text{number of divisors}$ ,then we have for every $r=2q-1$ , $\text{for some positive integer}$ $q$ , $y=r^2$ , $n(y)=3$ .

$\text{So the answer is yes,as we have simply found one type of category of such numbers}$ .