Math Problem Statement
Some odd numbers convert to an even number immediately upon (3N+1)/2 (e.g. 13 --> 20) but others require multiple such steps to convert to even (7-->11-->17-->13-->20). The question is why? Why does 7 require 4 steps and 13 requires 1 step?
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Collatz Conjecture
Arithmetic Operations
Formulas
3N + 1 transformation: (3N + 1) / 2
Theorems
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Suitable Grade Level
Advanced High School and Above
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