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MathNet 2021 — Part 01 Question 32

Math Olympiad Vault · MathNet 2021 — Part 01

Question 32

The greatest prime number that is a divisor of $16,384$ is $2$ because $16,384 = 2^{14}$. What is the sum of the digits of the greatest prime number that is a divisor of $16,383$?
  1. 3
  2. 7
  3. 10
  4. 16
  5. 22