Collatz conjecture

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

Summary

Collatz conjecture is a conjecture[1]. It ranks in the top 2% of conjecture entities by monthly Wikipedia readership (38,491 views/month).[2]

Key Facts

  • Collatz conjecture is credited with the discovery of Lothar Collatz[3].
  • Collatz conjecture's instance of is recorded as conjecture[4].
  • Lothar Collatz is named after Collatz conjecture[5].
  • hail is named after Collatz conjecture[6].
  • Syracuse University is named after Collatz conjecture[7].
  • Shizuo Kakutani is named after Collatz conjecture[8].
  • Stanisław Ulam is named after Collatz conjecture[9].
  • Collatz conjecture is part of list of unsolved problems in mathematics[10].
  • Collatz conjecture is part of Unsolved Problems in Number Theory[11].
  • Collatz conjecture's Commons category is recorded as Collatz conjecture[12].
  • Collatz conjecture was published on 1937[13].
  • Collatz conjecture's main subject is Collatz sequence[14].
  • Collatz conjecture's facet of is recorded as arithmetic dynamics[15].
  • Collatz conjecture's described by source is recorded as On-Line Encyclopedia of Integer Sequences wiki[16].
  • Collatz conjecture's maintained by WikiProject is recorded as WikiProject Mathematics[17].

Body

Geography

Part of include list of unsolved problems in mathematics[10] and Unsolved Problems in Number Theory[11].

Designation and Status

Collatz conjecture's instance of is recorded as conjecture[4].

History and Context

Things named after include Lothar Collatz[5], a mathematician[18], 1910–1990[19], of Germany[20], awarded the honorary doctor of the Vienna Technical University[21], specialised in numerical analysis[22]; hail[6], a type of meteorological phenomenon[23]; Syracuse University[7], a private university[24], in United States[25], founded in 1870[26]; Shizuo Kakutani[8], a mathematician[27], 1911–2004[28], of Japan[29], awarded the Imperial Prize of Japan Academy[30], specialised in functional analysis[31]; and Stanisław Ulam[9], a mathematician[32], 1909–1984[33], of United States[34], awarded the John von Neumann Prize[35], specialised in mathematics[36].

Why It Matters

Collatz conjecture ranks in the top 2% of conjecture entities by monthly Wikipedia readership (38,491 views/month).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[37] It is known by 133 alternative names across languages and contexts.[38]

References

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

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [3] ↑ . 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.
  15. [17] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [18] ↑ . Wikidata. wikidata.org. → on this site
  2. [19] ↑ . Wikidata. wikidata.org. → on this site
  3. [20] ↑ . Wikidata. wikidata.org. → on this site
  4. [21] ↑ . Wikidata. wikidata.org. → on this site
  5. [22] ↑ . Wikidata. wikidata.org. → on this site
  6. [23] ↑ . Wikidata. wikidata.org. → on this site
  7. [24] ↑ . Wikidata. wikidata.org. → on this site
  8. [25] ↑ . Wikidata. wikidata.org. → on this site
  9. [26] ↑ . Wikidata. wikidata.org. → on this site
  10. [27] ↑ . Wikidata. wikidata.org. → on this site
  11. [28] ↑ . Wikidata. wikidata.org. → on this site
  12. [29] ↑ . Wikidata. wikidata.org. → on this site
  13. [30] ↑ . Wikidata. wikidata.org. → on this site
  14. [31] ↑ . Wikidata. wikidata.org. → on this site
  15. [32] ↑ . Wikidata. wikidata.org. → on this site
  16. [33] ↑ . Wikidata. wikidata.org. → on this site
  17. [34] ↑ . Wikidata. wikidata.org. → on this site
  18. [35] ↑ . Wikidata. wikidata.org. → on this site
  19. [36] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [37] ↑ . Wikidata sitelinks. wikidata.org.
  3. [38] ↑ . 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 May 3, 2026, from https://4ort.xyz/entity/collatz-conjecture
MLA “Collatz conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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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. 13d 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 */ [[Property:P13772]]: 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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