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I was (surprisingly) not able to find online much information about the Collatz Conjecture on the negative integers. We know there are three cycles: $(-1 \rightarrow -2 \rightarrow -1)$, $(-5 \rightarrow -7 \rightarrow -5)$, $(-17 \rightarrow -25 \rightarrow -37 \rightarrow -55 \rightarrow -82 \r...