Collatz Sequence

Collatz Sequence Project:

The Collatz sequence, also called the 3n + 1 problem, is the simplest impossible math problem. (But don’t worry, the program itself is easy enough for beginners.) From a starting number, n, follow three rules to get the next number in the sequence:

1. If n is even, the next number n is n / 2.

2. If n is odd, the next number n is n * 3 + 1.

3. If n is 1, stop. Otherwise, repeat.

It is generally thought, but so far not mathematically proven, that every starting number eventually terminates at 1. 

When you run the program, the output should look like this:

Collatz Sequence, or, the 3n + 1 Problem

The Collatz sequence is a sequence of numbers produced from a starting

number n, following three rules:

1. If n is even, the next number n is n / 2.

2. If n is odd, the next number n is n * 3 + 1.

3. If n is 1, stop. Otherwise, repeat.

Enter a starting number (greater than 0) or QUIT:

> 26

26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1

Collatz Sequence, or, the 3n + 1 Problem

The Collatz sequence is a sequence of numbers produced from a starting

number n, following three rules:

1. If n is even, the next number n is n / 2.

2. If n is odd, the next number n is n * 3 + 1.

3. If n is 1, stop. Otherwise, repeat.

Enter a starting number (greater 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