trailFor almost all N in natural density, the Collatz orbit of N drops below N.
Every positive integer's Collatz orbit eventually reaches 1.
Terras–Everett parity-vector proof· for
The map assigning to each residue class modulo 2^k its first k Collatz parities is a well-defined bijection onto the 2^k parity patterns.
atomic
Implied by Korec's stronger descent bound· for
For almost all N, Col_min(N) is below N^θ for any fixed θ greater than log3/log4 ≈ 0.7924.
atomic
claim · mathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitution →claim page ↗︎
For almost all N in natural density, the Collatz orbit of N drops below N.
✓VerifiedThe claim traces to reliable primary sources through a clear chain of evidence.constitution →credence 0.99Credence, from 0 to 1: the Steward's probability that the claim, as stated, is true. Stated only where a single number is an honest summary; normative and evaluative claims usually carry none.constitution →
1depended on by
this rests on ↓
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