The Collatz conjecture [a] is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1.

Use this handy online tool to calculate and graph the Collatz sequence for a specific positive integer n.

2015年9月25日 · Then the Collatz conjecture states that $f$ acts transitively, or equivalently that its orbit converges to $\langle2\rangle$ for all inputs.

2024年5月20日 · Collatz Conjecture, also known as the 3n + 1 conjecture, the Ulam conjecture, or the Syracuse problem, is a famous unsolved problem in mathematics. It was first proposed by Lothar Collatz in 1937. The conjecture can be described using the following simple algorithm applied to any positive integer: If the number is even, divide it by 2.

The Collatz Conjecture (or Syracuse Conjecture), also known as the 3n+1 problem, states that applying the 3n+1 algorithm to any positive integer will always end up with the number 1.

2024年3月7日 · The Collatz Conjecture, also known as the "3n + 1" sequence, proposes that starting with any positive number and applying two rules (if even, divide by two; if odd, triple it and add one) will always eventually lead to the number one.

Although the conjecture may be stated in a variety of ways this paper will focus on the modified Collatz map T : Z+ → Z+ defined by. The conjecture is that for every integer n there exists a k such that T k(n)=1. First we will take steps toward refining an upper bound of the growth of a divergent trajectory if one exists.

2024年2月28日 · The Collatz conjecture, also called the 3x + 1 problem or hailstone sequence, takes a starting number. If it’s even it gets divided by 2. If it’s odd, it gets multiplied by 3 and 1 gets added.

2023年3月29日 · The Collatz Conjecture, also known as the \(3n+1\) problem or the hailstone sequence, is a mathematical conjecture that applies only to positive integers. It states that for any positive integer \(n\), if \(n\) is even, divide it by \(2\), and …

2020年3月25日 · Collatz Conjecture: 1. Take any natural number n. 2. If it’s even, divide by two, if it’s odd, multiply by three and add one. Repeat step 2 indefinitely. The conjecture states that you will always reach the number one eventually. For example, say you start with 5 your sequence would go 5-16-8-4-2-1. Collatz Game Intro