Talk:Collatz conjecture

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Collatz-graph is a tree

Collatz-graph is connected and acyclic.

Content:

1.Formulas for forward and backward sequences.

2.Family tree

3.Collatz sequence tree

4.Conclusion.

Exploring other mathematical sequences:

5. (3*N+5)/2^m

6. Juggler sequence

https://sourceforge.net/projects/trial-collatz-proof/ Kavalenka (talk) 13:55, 29 December 2024 (UTC)[reply]

Solution of Collatz Conjecture

If you want to see a solution for Collatz Conjecture, refer to Volume 13 Issue 1 2025, Global Scientific Journal, "Unveiling the mystery of the Collatz Conjecture" by Sandoval Amui. It just takes elementary arithmetic (Geometric progressions) 2804:9188:1:9FBB:64EC:C3BF:D452:DDC3 (talk) 00:01, 13 February 2025 (UTC)[reply]

Semi-protected edit request on 10 March 2025

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The article uses the word "begin" in excess. Can we use alternative synonyms please. 204.48.78.190 (talk) 23:07, 10 March 2025 (UTC)[reply]

Not done The word "begin" appears zero times in the article ("beginning" twice). --JBL (talk) 23:45, 10 March 2025 (UTC)[reply]

Application of the collatz conjecture on decimals

I found that the collatz conjecture can be solvable if the rules are modified. Let's consider it even if the last digit is divisible by 2, unless it's a decimal zero. If not, it's considered odd. So far, the numbers I have found do not end up on a loop or go infinitely. 122.53.180.74 (talk) 12:32, 9 April 2025 (UTC)[reply]

To clarify, I meant the decimal numbers I've found. 122.53.180.74 (talk) 12:37, 9 April 2025 (UTC)[reply]

If the rules are modified, it's not the Collatz conjecture. —Tamfang (talk) 21:49, 9 April 2025 (UTC)[reply]

(p, q)-adic analysis

Max Siegel — a graduate student from the University of Southern California — seems to have put immense effort into developing a new approach to studying the Collatz conjecture.^[1]^[2] I'm not confident enough mathematically to add anything from his dissertation myself, but it may be noteworthy and it appears interesting. Thoughts? Ramanujaner (talk) 21:51, 23 April 2025 (UTC)[reply]

^ Siegel, Maxwell Charles (2024-12-03), $\left(p,q\right)$-adic Analysis and the Collatz Conjecture, arXiv, doi:10.48550/arXiv.2412.02902, arXiv:2412.02902, retrieved 2025-04-23
^ "Algebra". Department of Mathematics. Retrieved 2025-04-23.

[1] Siegel, Maxwell Charles (2024-12-03), $\left(p,q\right)$-adic Analysis and the Collatz Conjecture, arXiv, doi:10.48550/arXiv.2412.02902, arXiv:2412.02902, retrieved 2025-04-23

[2] "Algebra". Department of Mathematics. Retrieved 2025-04-23.

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