The Collatz Conjecture is a famous unsolved problem in mathematics. It involves taking any positive integer and repeatedly applying the following rules: If the number is even, divide it by 2. If the ...

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The infamous Collatz conjecture says that if you start with any positive integer, you’ll always end up in this loop. And you’ll probably ignore my warning about trying to solve it: It just seems too ...

The number of steps that it takes for the sequence to reach 1 is called the length of the sequence. I was immediately intrigued by the Hailstone Sequence and the Collatz conjecture because of the ease ...

The Collatz conjecture—the vexing puzzle Kakutani described—is one of those supposedly simple problems that people tend to get lost in. For this reason, experienced professors often warn their ...

An attempt at tackling the intractable Collatz conjecture is a “noble failure” demonstrating the promise of automated reasoning techniques. The computer scientist Marijn Heule is always on the ...

Collatz conjecture (or 3x+1 problem) has been explored for about 80 years. By now the largest number that has been verified for Collatz conjecture is about 60 bits. In this paper, we propose new ...