Welcome to Atheist Discussion, a new community created by former members of The Thinking Atheist forum.

 Is there a mathematical theory for this phenomenon? Phaedrus Fierce       Posts: 6,162 Threads: 436 Likes Received: 9,126 in 3,591 posts Likes Given: 9,301 Joined: Oct 2018 Reputation: 52 04-26-2020, 11:31 AM Is there a mathematical theory for this phenomenon? Surely I cannot be the only one who has ever recognized it. Let's just start with a high number to follow the pattern. What we're doing is adding up the digits. 210 = 3 211 = 4 212 = 5 213 = 6 214 = 7 215 = 8 216 = 9 217 = 10 = 1 218 = 11 = 2 219 = 12 = 3 220 = 4 221 = 5 222 = 6 223 = 7 224 = 8 225 = 9 226 = 10 = 1 227 = 11 = 2 228 = 12 = 3 229 = 13 = 4 230 = 5 231 = 6 Etc and so on. Interesting, right?   • no one That thing in your nightmares      Posts: 2,859 Threads: 14 Likes Received: 2,815 in 1,331 posts Likes Given: 0 Joined: Sep 2018 Reputation: 31 04-26-2020, 11:51 AM Is there a mathematical theory for this phenomenon? Contact this guy (555)123-4567 The following 4 users Like no one's post: Thumpalumpacus Paukenschlager        Posts: 11,553 Threads: 25 Likes Received: 16,291 in 7,304 posts Likes Given: 18,686 Joined: Sep 2018 Reputation: 54 04-26-2020, 02:56 PM Is there a mathematical theory for this phenomenon? Wait 'til you discover the multiples of nine. Freedom isn't free. The following 1 user Likes Thumpalumpacus's post: Fireball The Bolide Member       Posts: 5,274 Threads: 12 Likes Received: 4,283 in 2,227 posts Likes Given: 13,288 Joined: Dec 2018 Reputation: 47 04-26-2020, 05:12 PM Is there a mathematical theory for this phenomenon? Modular Arithmetic. It works in other bases as well, if one uses different symbols for the digits, like hexadecimal (or base 12 like the clock example at this wikipedia entry). https://en.wikipedia.org/wiki/Modular_arithmetic The following 1 user Likes Fireball's post: Paleophyte Professional Schist Disturber     Posts: 2,088 Threads: 27 Likes Received: 2,585 in 1,069 posts Likes Given: 2,354 Joined: Sep 2018 Reputation: 28 04-26-2020, 07:01 PM (This post was last modified: 04-26-2020, 07:01 PM by Paleophyte.) Is there a mathematical theory for this phenomenon? It's called the digital root and is found by adding all the digits of a number together until you are left with a single digit number. As Thump alludes to, it can be handy for finding multiples of 3 and 9 in base 10. If the digital root is divisible by 3 then the original number is divisible by 3. If the digital root is 9 then the original number is divisible by 9. e.g.: Is 123,456,789 divisible by 9? 1+2+3+4+5+6+7+8+9 = 45, 4+5 = 9, so yes 123,456,789 is divisible by 9. The following 2 users Like Paleophyte's post: Thumpalumpacus Paukenschlager        Posts: 11,553 Threads: 25 Likes Received: 16,291 in 7,304 posts Likes Given: 18,686 Joined: Sep 2018 Reputation: 54 04-27-2020, 01:28 AM Is there a mathematical theory for this phenomenon? (04-26-2020, 07:01 PM)Paleophyte Wrote: It's called the digital root and is found by adding all the digits of a number together until you are left with a single digit number. As Thump alludes to, it can be handy for finding multiples of 3 and 9 in base 10. If the digital root is divisible by 3 then the original number is divisible by 3. If the digital root is 9 then the original number is divisible by 9. e.g.: Is 123,456,789 divisible by 9? 1+2+3+4+5+6+7+8+9 = 45, 4+5 = 9, so yes 123,456,789 is divisible by 9. Set your alarm clock for 7 am. Set the snooze for 9 minutes. Alarm goes off at 7, hit snooze. It'll go off at 7:09. Hit snooze again and it'll go off at 7:18 (1+8=9). Hit snooze again, it goes off a 7:27 (2+7=9). follow the series, it will always add up to 9 through the hour. It's that one-off thing. Freedom isn't free. The following 1 user Likes Thumpalumpacus's post: brunumb Member   Posts: 370 Threads: 3 Likes Received: 529 in 254 posts Likes Given: 2,431 Joined: Sep 2018 Reputation: 16 04-27-2020, 02:03 AM Is there a mathematical theory for this phenomenon? (04-26-2020, 11:31 AM)Phaedrus Wrote: Interesting, right? Thanks for that.  Interesting, yes, but not really surprising. If you add up all the digits of any number until you end up with a single digit, the only single digit you can end up with is between 1 and 9.  Adding 1 to the original number will add 1 to the sum.  So, you will automatically cycle through those nine digits from any starting number you choose and going up by 1 at a time. No gods necessary The following 1 user Likes brunumb's post: Chas Terse      Posts: 2,545 Threads: 20 Likes Received: 3,771 in 1,403 posts Likes Given: 2,420 Joined: Sep 2018 Reputation: 35 04-27-2020, 05:11 AM Is there a mathematical theory for this phenomenon? (04-26-2020, 11:31 AM)Phaedrus Wrote: Surely I cannot be the only one who has ever recognized it. Let's just start with a high number to follow the pattern. What we're doing is adding up the digits. 210 = 3 211 = 4 212 = 5 213 = 6 214 = 7 215 = 8 216 = 9 217 = 10 = 1 218 = 11 = 2 219 = 12 = 3 220 = 4 221 = 5 222 = 6 223 = 7 224 = 8 225 = 9 226 = 10 = 1 227 = 11 = 2 228 = 12 = 3 229 = 13 = 4 230 = 5 231 = 6 Etc and so on. Interesting, right? Each number is the previous plus one.  All else follows. Philosophy is about asking questions. Science is about answering questions. Theology is about avoiding questions. The following 1 user Likes Chas's post: « Next Oldest | Next Newest »