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What's My Number?

Puzzle 5

Difficulty:
Fun:
(based on 33 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • My number is either greater than the circumference of a circle with a radius of 3 or less than the area of a circle with a radius of 2.
  • My number is neither square nor a cube.
  • Either my number, when divided by 3, leaves a remainder smaller than 2, or it is divisible by 5.
  • My number is neither prime nor a factor of 336.
  • My number is the smaller of the two numbers that fit all of the above requirements.

What is my number?

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