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2021 AMC 12D Question 6

AMC12 · 2021 AMC 12D

Question 6

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. $22$