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Collatz conjecture

conjecture in mathematics that concerns sequences
Place conjecture Q837314
Collatz conjecture
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Summary

Collatz conjecture is a conjecture[1]. It ranks in the top 2% of conjecture entities by monthly Wikipedia readership (17,815 views/month).[2]

Key Facts

  • Discoverer or inventor: Lothar Collatz[3]
  • Named after: Lothar Collatz[4], hail[5], Syracuse University[6], Shizuo Kakutani[7], Stanisław Ulam[8]
  • Part of: list of unsolved problems in mathematics[9], Unsolved Problems in Number Theory[10]
  • Commons category: Collatz conjecture[11]
  • Publication date: 1937[12]
  • Main subject: Collatz sequence[13]
  • Facet of: arithmetic dynamics[14]
  • Described by source: On-Line Encyclopedia of Integer Sequences wiki[15]
  • Maintained by WikiProject: WikiProject Mathematics[16]

Why It Matters

Collatz conjecture has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[17] It is known by 133 alternative names across languages and contexts.[18]

Related Entities

Helmut Hasse Stanisław Ulam

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] ↑ . Wikidata sitelinks. wikidata.org.
  3. [18] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Collatz conjecture. Retrieved October 14, 2026, from https://4ort.xyz/entity/collatz-conjecture
MLA “Collatz conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/collatz-conjecture.
BibTeX @misc{4ortxyz_collatz-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Collatz conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/collatz-conjecture}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Collatz conjecture — https://4ort.xyz/entity/collatz-conjecture (retrieved 2026-10-14)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4w ago · Susmuffin · 2026-09-10 view diff on Wikidata ↗
    Instance of → conjecture
    Maintained by wikiproject → WikiProject Mathematics
    Instance of → —
    Main subject → Collatz sequence
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ Harper's tag: collatz-conjecture, Matched to [[:toollabs:mix-n-match/#/entry/289921442|collatz conjecture (#289921442)]] in [[:toollabs:mix-n-match/#/catalog/7915|H"
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