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Collatz conjecture

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Extensions to larger domains

2-adic integersMeasure-preservingErgodicIsometryReal line
22 related topics

Supporting arguments

CounterexamplesPólya conjectureMertens conjectureLower bounds2-adic
13 related topics

Other formulations of the conjecture

GraphRelationIf and only ifTreePower of 2
13 related topics

Undecidable generalizations

John Horton ConwayUndecidableHalting problemArithmetical hierarchyEsoteric programming language
6 related topics

Topics to explore

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Overview

Statement of the problem

Empirical data

Supporting arguments

Cycles

Other formulations of the conjecture

Extensions to larger domains

Optimizations

Syracuse function

Undecidable generalizations

In computational complexity

In proofs of correctness

Advanced semantic analysis

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Map overview Semantic statistics

Collatz conjecture

Nodes89
Edges88
Triples81
Avg. degree1.98
Density0.022472
Components1

How this topic connects Entity context

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Collatz conjecture

Top relations

related to External links · 30
Collatz conjecture → Alex Kontorovich, An, Another, Archived, Are, August, Collatz, Collatz Paths, Collatz Problem, Eisenbud, Eric, Eric Roosendaal, Eric Roosendaal's, Jesse, July, Keith, MathWorld, Matthews, Nochella, Numberphile
related to In computational complexity · 12
Collatz conjecture → As, BB, Collatz, Collatz-like, Hence, In, Paul Erdős, The, The Collatz, There, This, Turing
related to In proofs of correctness · 11
Collatz conjecture → Collatz, Errors, However, In July, Lean, Lean-verified, Nanoda, Once, Such, This, To
related to Stopping times · 9
Collatz conjecture → As, Collatz, In, Quanta Magazine, Responding, Riho Terras, Tao, Terence Tao, The
related to Modular restrictions · 7
Collatz conjecture → As, Collatz, For, If, Only, Silva, Tomás Oliveira
related to Iterating on all integers · 6
Collatz conjecture → An, Collatz, Each, Leaving, Odd, These
related to Visualizations · 4
Collatz conjecture → Collatz, Directed, The, This
is a · 1
Collatz conjecture → assertion that every integer

Important terminology Word statistics

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Important terminology

collatz conjecture function sequence odd displaystyle number cycle one numbers positive integers integer problem mod values parity even 3n two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Collatz conjectureis aassertion that every integer0.90text
Leaninstance ofsoftware0.80text
Collatz conjecturerelated to External linksMatthews0.60section
Collatz conjecturerelated to External linksKeith0.60section
Collatz conjecturerelated to External linksAn0.60section
Collatz conjecturerelated to External linksEric Roosendaal0.60section
Collatz conjecturerelated to External linksCollatz0.60section
Collatz conjecturerelated to External linksAnother0.60section
Collatz conjecturerelated to External linksTomás Oliveira0.60section
Collatz conjecturerelated to External linksSilva0.60section
Collatz conjecturerelated to External linksEric Roosendaal's0.60section
Collatz conjecturerelated to External linksWeisstein0.60section

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    Min side: 3
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