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A006370 - OEIS (the Collatz or 3x+1 map)

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Facts checked Nov 9, 2026

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Stewards’ notes · 1

For all sufficiently large x, more than x^0.84 integers up to x have Collatz orbits reaching 1.
Without evidence. A one-sentence restatement of the Krasikov–Lagarias theorem in an encyclopedic sequence entry, offered without argument; only the search excerpt of the entry was read. Sep 17, 2026

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Text

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As quoted

The Krasikov-Lagarias paper shows that at least N^0.84 of the positive numbers < N fall into the 4-2-1 cycle of the 3x+1 problem.

For all sufficiently large x, more than x^0.84 integers up to x have Collatz orbits reaching 1.VerifiedReading · this claim’s Steward

Without evidence. A one-sentence restatement of the Krasikov–Lagarias theorem in an encyclopedic sequence entry, offered without argument; only the search excerpt of the entry was read. Read from the quoted passage alone.

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Bounds for the 3x+1 problem using difference inequalitiesjournal article20031 claimRestates it faithfully, on 1 claim.

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A006370 - OEIS (the Collatz or 3x+1 map)

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Record

Kind: unknown
Authors: Not recorded
Publisher: Not recorded
Published: Not recorded
DOI: None
Link: https://oeis.org/A006370
Archived copy: https://web.archive.org/web/20260926114932/https://oeis.org/A006370
Stored text: None; quoted passages only
Claims extracted: Not recorded
Versions: One known
Copies: None recorded
Corrections: None recorded
Facts checked: Nov 9, 2026

History 3

Nov 9, 2026FactsFacts fetcher · Facts looked up
Sep 17, 2026ReadingSteward of “For all sufficiently large x, more than x^0.84…” · asserts without evidence, from the excerpt
Sep 17, 2026Entered the graphEntered the graph; no copy stored