Collatz conjecture

Summary

Collatz conjecture is a conjecture^[1]. It ranks in the top 2% of conjecture entities by monthly Wikipedia readership (1,927 views/month).^[2]

Key Facts

• Collatz conjecture is credited with the discovery of Lothar Collatz^[3].
• Collatz conjecture's image is recorded as Collatz-graph-all-30-no27-loop.svg^[4].
• Collatz conjecture's image is recorded as All Collatz sequences of a length inferior to 20.svg^[5].
• Collatz conjecture's instance of is recorded as conjecture^[6].
• Lothar Collatz is named after Collatz conjecture^[7].
• hail is named after Collatz conjecture^[8].
• Syracuse University is named after Collatz conjecture^[9].
• Shizuo Kakutani is named after Collatz conjecture^[10].
• Stanisław Ulam is named after Collatz conjecture^[11].
• Collatz conjecture's part of is recorded as list of unsolved problems in mathematics^[12].
• Collatz conjecture's part of is recorded as Unsolved Problems in Number Theory^[13].
• Collatz conjecture's Commons category is recorded as Collatz conjecture^[14].
• Collatz conjecture's publication date is recorded as +1937-00-00T00:00:00Z^[15].
• Collatz conjecture's Freebase ID is recorded as /m/09g1c^[16].
• Collatz conjecture's main subject is recorded as Collatz sequence^[17].
• Collatz conjecture's facet of is recorded as arithmetic dynamics^[18].
• Collatz conjecture's described by source is recorded as On-Line Encyclopedia of Integer Sequences wiki^[19].
• Collatz conjecture's defining formula is recorded as \begin{aligned}&f(n)=\begin{cases}3n+1&2\nmid n\n/2&2\mid n\end{cases}\&\forall n\in\mathbb Z^+\exists i\in\mathbb N\colon (\underbrace{f\circ f\circ\dotsb\circ f}_i)(n)=1\end{aligned}^[20].
• Collatz conjecture's MathWorld ID is recorded as CollatzProblem^[21].
• Collatz conjecture's Quora topic ID is recorded as Collatz-Conjecture^[22].
• Collatz conjecture's Dictionary of Algorithms and Data Structures ID is recorded as CollatzProblem^[23].
• Collatz conjecture's maintained by WikiProject is recorded as WikiProject Mathematics^[24].
• Collatz conjecture's Microsoft Academic ID is recorded as 128814272^[25].
• Collatz conjecture's ProofWiki ID is recorded as Collatz_Conjecture^[26].
• Collatz conjecture's NicoNicoPedia ID is recorded as コラッツの問題^[27].

Body

Geography

Part of include list of unsolved problems in mathematics^[12] and Unsolved Problems in Number Theory^[13].

Designation and Status

Collatz conjecture's instance of is recorded as conjecture^[6].

History and Context

Things named after include Lothar Collatz^[7], a mathematician^[28], 1910–1990^[29], of Germany^[30], awarded the honorary doctor of the Vienna Technical University^[31], specialised in numerical analysis^[32]; hail^[8], a type of meteorological phenomenon^[33]; Syracuse University^[9], a private university^[34], in United States^[35], founded in 1870^[36]; Shizuo Kakutani^[10], a mathematician^[37], 1911–2004^[38], of Japan^[39], awarded the Imperial Prize of Japan Academy^[40], specialised in functional analysis^[41]; and Stanisław Ulam^[11], a mathematician^[42], 1909–1984^[43], of United States^[44], awarded the John von Neumann Prize^[45], specialised in mathematics^[46].

Why It Matters

Collatz conjecture ranks in the top 2% of conjecture entities by monthly Wikipedia readership (1,927 views/month).^[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.^[47] It is known by 106 alternative names across languages and contexts.^[48]