Question

Collatz Conjecture: Unclear on one step in the proof for Lemma 10 of Simons & Weger (2005)

score 165 · Answer 1 · 2021-01-04 23:50:28

165

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Collatz Conjecture: Unclear on one step in the proof for Lemma 10 of Simons & Weger (2005)

Published on 04 Jan 2021 - 23:50

score 126 · Answer 2 · 2021-01-09 19:38:43

126

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A problem with similar taste to Collatz Conjecture: Stochastic methods?

Published on 09 Jan 2021 - 19:38

score 99 · Answer 3 · 2021-01-10 17:42:30

99

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Collatz Conjecture: Am I understanding the Chain Equation from Simons & de Weger (2005) correctly? Is this inequality valid?

Published on 10 Jan 2021 - 17:42

score 297 · Answer 4 · 2021-01-10 21:48:59

297

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Problem similar to Collatz conjecture

Published on 10 Jan 2021 - 21:48

score 1k · Answer 5 · 2021-01-15 13:05:21

1k

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Interesting pattern in the number of steps in the Collatz conjecture.

Published on 15 Jan 2021 - 13:05

score 98 · Answer 6 · 2021-01-16 19:52:28

98

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Crandall 1978: $m(2^{A_k}-3^k)<\sum_{j=0}^{k-1}(3+\frac{1}{m})^{k-1}$?

Published on 16 Jan 2021 - 19:52

score 637 · Answer 7 · 2021-01-21 13:17:35

637

Views

Number of Collatz iterations for numbers of the form $2^n-1$

Published on 21 Jan 2021 - 13:17

score 198 · Answer 8 · 2026-02-23 09:33:46

198

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Integer solutions of $(2^{B_N}-1) \bmod \left( (-(3^N)) \bmod 2^{B_N}\right) =0$ other than $N\in \{1,2,3\} \{4,8,12\}$?

Published on 23 Feb 2026 - 9:33

score 317 · Answer 9 · 2021-01-29 15:34:02

317

Views

Conjecture: if collatz($n$) reaches 1, it must do so in at most $2^{n+1}$ steps

Published on 29 Jan 2021 - 15:34

score 156 · Answer 10 · 2021-01-30 04:07:56

156

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Collatz Conjecture: If a non-trivial cycle exists, would it follow that $2^{K+L} - 3^K < (10^{-5})3^K$

Published on 30 Jan 2021 - 4:07

score 668 · Answer 11 · 2021-01-30 17:56:04

668

Views

Why does plotting Collatz sequences in polar coordinates produce a cardioid and nephroid?

Published on 30 Jan 2021 - 17:56

score 192 · Answer 12 · 2026-03-27 16:47:07

192

Views

Is it a known result that the Collatz Tree repeats on itself indefinitely?

Published on 27 Mar 2026 - 16:47

score 199 · Answer 13 · 2021-02-10 10:55:05

199

Views

What are the bounds on the frequency of divisions by 2 in the Collatz cycles of natural numbers?

Published on 10 Feb 2021 - 10:55

score 818 · Answer 14 · 2021-02-11 18:37:11

818

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Show that $2^n<2^{\lceil n \log_23\rceil}-3^n<3^n-2^n$

Published on 11 Feb 2021 - 18:37

score 117 · Answer 15 · 2021-02-12 05:28:21

117

Views

Collatz Conjecture, why a rate of change of $*4$ in the following?

Published on 12 Feb 2021 - 5:28

List Question

Collatz Conjecture: Unclear on one step in the proof for Lemma 10 of Simons & Weger (2005)

A problem with similar taste to Collatz Conjecture: Stochastic methods?

Collatz Conjecture: Am I understanding the Chain Equation from Simons & de Weger (2005) correctly? Is this inequality valid?

Problem similar to Collatz conjecture

Interesting pattern in the number of steps in the Collatz conjecture.

Crandall 1978: $m(2^{A_k}-3^k)<\sum_{j=0}^{k-1}(3+\frac{1}{m})^{k-1}$?

Number of Collatz iterations for numbers of the form $2^n-1$

Integer solutions of $(2^{B_N}-1) \bmod \left( (-(3^N)) \bmod 2^{B_N}\right) =0$ other than $N\in \{1,2,3\} \{4,8,12\}$?

Conjecture: if collatz($n$) reaches 1, it must do so in at most $2^{n+1}$ steps

Collatz Conjecture: If a non-trivial cycle exists, would it follow that $2^{K+L} - 3^K < (10^{-5})3^K$

Why does plotting Collatz sequences in polar coordinates produce a cardioid and nephroid?

Is it a known result that the Collatz Tree repeats on itself indefinitely?

What are the bounds on the frequency of divisions by 2 in the Collatz cycles of natural numbers?

Show that $2^n<2^{\lceil n \log_23\rceil}-3^n<3^n-2^n$

Collatz Conjecture, why a rate of change of $*4$ in the following?

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