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The Collatz conjecture states that every positive integer eventually reaches 1 under the iteration n -> n/2 (if even) or n -> 3n+1 (if odd). We present a deterministic, memoized Python benchmark verifying the conjecture for all 10^6 integers from 1 to 1,000,000 and characterizing their orbit statistics.

Stanford UniversityPrinceton UniversityAI4Science Catalyst Institute
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