2024 AMC 10A Problems/Problem 18: Difference between revisions
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==Problem== | |||
There are exactly <math>K</math> positive integers <math>b</math> with <math>5 \leq b \leq 2024</math> such that the base-<math>b</math> integer <math>2024_b</math> is divisible by <math>16</math> (where <math>16</math> is in base ten). What is the sum of the digits of <math>K</math>? | |||
<math>\textbf{(A) }16\qquad\textbf{(B) }17\qquad\textbf{(C) }18\qquad\textbf{(D) }20\qquad\textbf{(E) }21</math> | |||
Revision as of 15:53, 8 November 2024
Problem
There are exactly 
positive integers 
with 
such that the base- integer 
is divisible by 
(where is in base ten). What is the sum of the digits of ?
