It concerns sequences of integers in which each term is obtained from the previous term as follows: if a term is even, the next term is one half of it. If a term is odd, the next term is 3 times the previous term plus 1. The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence.

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.

2021年9月9日 · When computing 3x+1 we need to split that up as: x + (2x+1). By doing this, we are assured that the “2x+1” number ends in a “11”. This is because doubling a number is …

"The 3x+1 problem, also known as the Collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm, and Ulam's problem, concerns the behavior of the iterates of the function which takes odd integers n to 3n+1 and even integers n to n/2.

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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. This repeats until reaching 1. It is an unsolved conjecture about all numbers reaching 1, named after Lothar Collatz who introduced it in 1937.

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It is also known as the 3n + 1 problem (or conjecture), the 3x + 1 problem (or conjecture), the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after …

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