How to Verify the Collatz Sequence for a Number Using Python

Submitted by razormist on Friday, August 15, 2025 - 22:59.

In this tutorial, we will learn how to program "How to Verify the Collatz Sequence for a Number Using Python." The objective is to verify the Collatz sequence for the given input number. This tutorial will guide you step by step through the entire process of determining the Collatz sequence for a number. By the end of this tutorial, you will have a solid understanding of how to implement this task effectively, helping you strengthen your problem-solving abilities and enhance your Python coding skills.

This topic is straightforward to understand. Just follow the instructions provided, and you will complete it with ease. The program will guide you step by step through the process of obtaining the Collatz sequence for a given number. So, let’s dive into the coding process!

Getting Started:

First you will have to download & install the Python IDLE's, here's the link for the Integrated Development And Learning Environment for Python https://www.python.org/downloads/.

Creating Main Function

This is the main function of the application. The following code will display a simple GUI in terminal console that will display program. To do this, simply copy and paste these blocks of code into the IDLE text editor.

def collatz(n):
    sequence = []
    while n > 1:
        sequence.append(n)
        if n % 2:  # odd
            n = 3 * n + 1
        else:  # even
            n //= 2
    sequence.append(1)
    return sequence
 
while True:
    print("\n============== Verify the Collatz Sequence for a Number ==============\n")
    
    # Input validation
    try:
        n = int(input('Enter a positive integer n: '))
        if n <= 0:
            print("Please enter a positive integer greater than 0.")
            continue
    except ValueError:
        print("Invalid input. Please enter a positive integer.")
        continue
 
    # Generate and print sequence
    seq = collatz(n)
    print("Sequence:", " ".join(map(str, seq)))
 
    # Repeat option
    opt = input("\nDo you want to try again? (yes/no): ").strip().lower()
    if opt == 'no':
        print("Exiting program...")
        break
    elif opt != 'yes':
        print("Invalid choice. Exiting program...")
        break

This Python program verifies and displays the Collatz sequence for a given positive integer. It repeatedly applies the Collatz rules—if the number is even, divide it by 2; if odd, multiply by 3 and add 1—until it reaches 1, storing each step in a list. The program includes input validation to ensure the number is positive and runs in a loop, allowing users to test multiple numbers until they choose to exit.

Output:

There you have it we successfully created How to Verify the Collatz Sequence for a Number Using Python. I hope that this simple tutorial help you to what you are looking for. For more updates and tutorials just kindly visit this site. Enjoy Coding!

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