It's as simple as this
1. Start with any natural whole number
2. If it's even, divide it by 2,
If it's odd, multiply it by 3 and then add 1
3. Repeat the sequence for the numbers you keep getting until you land "1"
As the number.
No matter what the starting number, the sequence will land you ultimately on the number 1.
http://ift.tt/1MtB4Je
If you start with 10 it's fast
10, 5, 16, 8, 4, 2, 1
If you start with 29
29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1
Ok, so they go quick to 1, right????? Now try 27
If you start with 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
Questions unsolved
1. Is there a proof that Alll natural numbers conject to 1 ultimately? So far this is only tested to very high numbers to be true, but not sealed with a proof
2. What properties in numbers can be used to determine without working out the math, if the sequence will be long as in starting with 27, or short as in starting with 10?
3) what's the secret in the number 9232 that it is the highest number to show in a sequence at any point in sequence for starting numbers 1 thru like 1000?
Also see here
http://youtu.be/m4CjXk_b8zo
1. Start with any natural whole number
2. If it's even, divide it by 2,
If it's odd, multiply it by 3 and then add 1
3. Repeat the sequence for the numbers you keep getting until you land "1"
As the number.
No matter what the starting number, the sequence will land you ultimately on the number 1.
http://ift.tt/1MtB4Je
If you start with 10 it's fast
10, 5, 16, 8, 4, 2, 1
If you start with 29
29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1
Ok, so they go quick to 1, right????? Now try 27
If you start with 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
Questions unsolved
1. Is there a proof that Alll natural numbers conject to 1 ultimately? So far this is only tested to very high numbers to be true, but not sealed with a proof
2. What properties in numbers can be used to determine without working out the math, if the sequence will be long as in starting with 27, or short as in starting with 10?
3) what's the secret in the number 9232 that it is the highest number to show in a sequence at any point in sequence for starting numbers 1 thru like 1000?
Also see here
http://youtu.be/m4CjXk_b8zo
The Simplest Impossible Problem in the World