Abstract: The Collatz conjecture, which posits that any positive integer will eventually reach 1 through a specific iterative process, is a classic unsolved problem in mathematics. This research ...

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There is something so infectious about a dance sequence that, even in movies and TV shows in which they occur pretty much out of nowhere and, in theory, should not work, they still do in most cases.

ABSTRACT: A new Base-X Conjecture was introduced in this paper, and Collatz Conjecture is just one case of Base-X Conjecture - Base-3 (Ternary). Based on Base-X number system property and Collatz ...

ABSTRACT: A new Base-X Conjecture was introduced in this paper, and Collatz Conjecture is just one case of Base-X Conjecture - Base-3 (Ternary). Based on Base-X number system property and Collatz ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Some of the most satisfying number puzzles require little mathematical know-how. In fact, cracking the one below calls for thinking that is quite nonmathematical. I don’t know where or when I first ...

if a given term is even, the term that follows is half the given term; if a given term is odd, then the terms that follows is the successor of three times the given term. For example, the Collatz ...