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Number Theory Level 3

How many \(4\) digit palindromes are divisible by \(7\)?

Details and assumptions

A palindrome is a number that is the same when its digits are reversed (i.e. \(232\) is a palindrome).

The number \(10=010\) is not considered a 3-digit palindrome. It only has 2 digits, and we ignore any 0's at the start.


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