# Less than a million and divisible by three

Let us call $$n \in \mathbb{N}$$ good if all the digits of $$n$$ are odd and $$n$$ is divisible by $$3$$. How many good $$n<10^6$$ exist?

Details and Assumptions:

• Here, we talk about $$n$$ in its base $$10$$ representation.

• $$\mathbb{N}$$ is the set of natural numbers.

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