Since 3n + 1 is even whenever n is odd, one may instead use the "shortcut" form of the Collatz function: This definition yields smaller values for the stopping time and total stopping time without changing …

Mar 29, 2025 · The Collatz Conjecture (or 3n + 1 problem) asserts that iterating a simple process – halve n if n is even, or triple it and add 1 if n is odd – will eventually bring any positive integer to 1.

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.

The Collatz Conjecture, also known as the 3n+1 problem, is the simplest unsolved math problem that has stumped mathematicians for decades. Start with any pos...

Jul 23, 2025 · 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 …

The Collatz conjecture, which is also referred to as the Ulam conjecture, Kakutani's problem, the 3n + 1 conjecture, Hasse's algorithm, the Thwaites conjecture, or the Syracuse problem, involves a …

BASIC OVERVIEW: If a term is even, the next term is n/2. If a term is odd, the next term is 3n +1. The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to …