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Collatz Conjecture
(Ulam Conjecture/Kakutani’s problem/Thwaites conjecture/Hasse’s algorithm/Syracuse problem/3n+1 Conjecture)
Even: ÷2
Odd: ×3 + 1
×3 + 1
3
×3 + 1
÷2
10
5
÷2
16
8
÷2
÷2
÷2
4
2
×3 + 1
1
×3 + 1
3
×3 + 1
÷2
10
5
÷2
16
8
÷2
÷2
÷2
4
2
×3 + 1
1
Is there a number that doesn’t end up at 1?
266 = 295 147 905 179 352 825 856
“Mathematics is not yet ripe enough for such questions.” - Paul Erdős
Coral Simulation
Fractal
<20 steps tree
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