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The ratio R, defined as the ratio of the number of even integers to the number of odd integers minus one that appear in the iterative process of the Collatz conjecture, can serve as a criterion for determining whether the iterated values eventually reach 1. This paper explains the physical meaning of R from the perspective of tightrope walking along Collatz ropes.
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Fumihidé Shiraishi (2026) studied this question.
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