## Collatz Conjecture

**Authors**: Samrit Pramanik

**Abstract**: The Collatz Conjecture is indeed a fascinating mathematical problem, and showcasing it in an R Shiny app is an innovative way to visualize the behaviour of the algorithm. The conjecture operates as follows:

- Start with any positive integer 𝑛.
- If 𝑛 is even, divide it by 2.
- If 𝑛 is odd, multiply it by 3 and add 1.
- Repeat the process with the resulting value of 𝑛, eventually, the sequence will reach 1 (according to the conjecture).

An R Shiny app could bring this process to life by plotting the sequence of integers dynamically. Users could input a number, and the app would display how the sequence evolves until it reaches 1, potentially showing both the numerical results and a line graph that updates with each step.

**Full Description**:

Shiny app: Collatz Conjecture

Repo: GitHub - samrit2442/collatz-conjecture

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