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 Is there a mathematical theory for this phenomenon? Phaedrus Fierce       Posts: 6,157 Threads: 436 Likes Received: 9,113 in 3,585 posts Likes Given: 9,302 Joined: Oct 2018 Reputation: 51 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: 2,630 Threads: 11 Likes Received: 2,577 in 1,207 posts Likes Given: 0 Joined: Sep 2018 Reputation: 29 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 Six-string slinger       Posts: 9,221 Threads: 20 Likes Received: 12,883 in 5,760 posts Likes Given: 14,845 Joined: Sep 2018 Reputation: 52 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 Tumescent Member      Posts: 4,169 Threads: 10 Likes Received: 3,389 in 1,771 posts Likes Given: 10,837 Joined: Dec 2018 Reputation: 44 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: 2,055 Threads: 26 Likes Received: 2,466 in 1,036 posts Likes Given: 2,238 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 Six-string slinger       Posts: 9,221 Threads: 20 Likes Received: 12,883 in 5,760 posts Likes Given: 14,845 Joined: Sep 2018 Reputation: 52 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: 365 Threads: 3 Likes Received: 517 in 249 posts Likes Given: 2,334 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: 2,291 Threads: 16 Likes Received: 3,387 in 1,265 posts Likes Given: 2,189 Joined: Sep 2018 Reputation: 34 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 » 