Let $$𝑓$$ be the function defined by $$𝑓(𝑛)$$ = remainder when $$n^{n}$$ is divided by $$7$$, for all positive integers $$𝑛$$. Find the smallest positive integer $$𝑇$$ such that $$f(n+T)=f(n)$$ for all positive integers $$n$$.

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