Today, we are going to Program a project of Collatz Sequence using Python. This program is for mid-level programmers who have the basic knowledge of Python concepts.

## Theory: Program of Collatz Sequence in Python

The Collatz sequence : It is a sequence of number following the below given rule. The first number is input and termed as z.

1) If z is even, then the next number z is z / 2.

2) If z is odd, then the next number z is z * 3 + 1.

3) If z is 1, then it will stop. Otherwise, repeat.

## Step by Step Guide to Project:

step 1: Importing file sys, time

sys file imports exit function from the output when ctrl+c is pressed.

Time module is used to provide time gap between output.

step 2: General description of project is provided.

Step 3: Starting number of Collatz sequence is input. Input is checked whether it is a positive natural number. If yes then program goes on other step if it is not then warning is issued.

Step 4: Using if-else condition the number is processed and the next number is provided to while loop again and this loop goes on till the value is not equal to 1.

### Source code : Program of Collatz Sequence in Python

import sys, time print('''Collatz Sequence, the 3z + 1 Problem By Archit The Collatz sequence it is a sequence of number following the below given rule. The first number is inputed and termend as z. 1) If z is even, then the next number z is z / 2. 2) If z is odd, then the next number z is z * 3 + 1. 3) If z is 1, then it will stop. Otherwise, repeat. ''') print('Enter a start number (larger than 0) or QUIT:') response = input('> ') if not response.isdecimal() or response == '0': print('You must enter an integer greater than 0.') sys.exit() z = int(response) print(z, end='', flush=True) while z != 1: if z % 2 == 0: # If n is even... z = z // 2 else: # Otherwise, n is odd... z = (3*z) + 1 print(', ' + str(z), end='', flush=True) time.sleep(0.1) print()

## Output:

Python 3.7.4 (tags/v3.7.4:e09359112e, Jul 8 2019, 19:29:22) [MSC v.1916 32 bit (Intel)] on win32

Type “help”, “copyright”, “credits” or “license()” for more information.

=== RESTART: C:/Users/ARCHIT/Desktop/new python progrm/collatz sequence.py ===

Collatz Sequence, or, the 3z + 1 Problem

By Archit

The Collatz sequence it is a sequence of number following the below given rule.

The first number is inputed and termend as z.

1) If z is even, then the next number z is z / 2.

2) If z is odd, then the next number z is z * 3 + 1.

3) If z is 1, then it will stop. Otherwise, repeat.

Enter a start number (larger than 0) or QUIT:

27

27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1

## Conclusion :

The program is running fine.

Thanks for reading and copying the Program of Collatz Sequence in Python . This program is for mid-level programmers and Engineering students who want to get placed in reputed firms. For more programs click the below link.

Python Programs Archives – CS Study