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What's My Number?

Puzzle 12

Difficulty:
Fun:
(based on 14 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • If my number is greater than the hypotenuse of a 30-60-90 triangle with a shortest side equal to 5, then it is less than 13.
  • If my number is smaller than the hypotenuse of a 45-45-90 triangle with a shortest side equal to 6, then it is greater than 7.
  • All factors of my number greater than 1 are also prime.
  • My number is not equal to 101 in base 3.

What is my number?

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