111 is divisible by 3.

222 is divisible by 3.

333 is divisible by 3.

444 is divisible by 3.

555 is divisible by 3.

Let $M$ be a positive integer with all the same digits but none of its digits are 3.

**True or false:**

If $M$ has $N$ digits, where $N$ is divisible by 3, then $M$ must be divisible by 3.

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