The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence. The conjecture has been shown to hold for all positive integers up to 2.95×1020 ...

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 ...

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 ...

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 Collatz conjecture was first posed in 1937. It’s simple enough that an elementary school student can make their way through it. Start by picking a number. Designate that number ‘n’.

The Collatz Conjecture is a deceptively simple math problem. It has only two rules. First, pick any number. If it's even, divide it by two. If it's odd, multiply it by three and add one. This will ...