# Do I Know a Number Other Than 4?

When $$(4444)^{4444}$$ is written in decimal notation, the sum of its digits is $$A$$. Let $$B$$ be the sum of the digits of $$A$$. Find the digital sum of $$B.$$

(Note: A digital sum means you take the sum of the digits, and then if more than one digit remains, take the sum again, and keep repeating until only one digit remains.)

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