What a Beautiful Number!
2024 makes my pattern matching brain light up. There are soooo many patterns to be found in this sequence of numbers, especially when you split it into two chunks ("20" and "24"). 20 and 24 have a 5:6 ratio, which will show up again and again throughout this post.
20 | = | 2 x 10 | 4 x 5 | 20d |
24 | = | 2 x 12 | 4 x 6 | 20z* |
* Represents duodecimal, which you can learn about from Numberphile and jan Misali.
2024 in Other Number Bases
The highlighted lines are the ones which really tickle my brain.
Base | 2024 | 20 | 24 |
---|
Base 2 | 111111010002 | 101002 | 110002 |
Base 3 | 22022223 | 2023 | 2203 |
Base 4 | 1332204 | 1104 | 1204 |
Base 5 | 310445 | 405 | 445 |
Base 6 | 132126 | 326 | 406 |
Base 7 | 56217 | 267 | 337 |
Base 8 | 37508 | 248 | 308 |
Base 9 | 26889 | 229 | 269 |
Base 10 | 202410 | 2010 | 2410 |
Base 11 | 158011 | 1911 | 2211 |
Base 12 | 120812 | 1812 | 2012 |
Base 13 | bc913 | 1713 | 1b13 |
Base 14 | a4814 | 1614 | 1a14 |
Base 15 | 8ee15 | 1515 | 1915 |
Base 16 | 7e816 | 1416 | 1816 |
Base 17 | 70117 | 1317 | 1717 |
Base 18 | 64818 | 1218 | 1618 |
Base 19 | 5ba19 | 1119 | 1519 |
Base 20 | 51420 | 1020 | 1420 |
Delicious, aren't they?
Random Facts
2,024 seconds is 33 minutes, 44 seconds.
2,024 inches is 168 feet & 8 inches.
Patterns
2024 has 4 digits.
The sum of the digits (2 + 0 + 2 + 4) is 8, twice that of the number of digits, making it a Harshad number.
All the digits are powers of 2.
The digits have a mean, median, and mode of 2.
2024 can be divided by 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, and 2024.
2024 has incredible visual patterns when represented as Babylonian numerals: 𒌍𒐗 𒐏𒐘
More Patterns
Patterns you could make from 2024's digits:
- [...] 6 4 2 0 2 4 6 8 6 4 2 0 2 4 6 [...]
- [...] 8 4 2 0 2 4 8 16 32 64 128 [...]
- [...] 2 4 2 0 2 4 2 0 2 4 2 0 2 4 2 [...]
- [...] 0 0 2 0 2 4 0 2 4 6 0 2 4 6 8 0 [...]
- [...] 1 6 2 0 2 4 2 8 3 2 3 6 4 0 4 4 [...]
- [...] 1 2 2 0 2 4 3 0 3 6 4 0 4 8 5 0 [...]
- [..] -2 2 2 0 2 4 4 6 10 14 20 30 44 [...]
- 2 0 2 4 2 8 2 12 2 16 2 20 [...]
- 2 0 2 4 2 8 2 16 2 32 2 64 [...]
- 2 0 2 4 6 12 22 40 74 136 [...]
Can you figure them all out?
I'm Not The Only One Enjoying 2024 As a Number
...there were so many but these two in particular made me smile.
Do You Also Like Patterns?
Keep an eye out for another blog post soon. I have something in the works that may interest you. (I will be updating this blog post with a link to said project 🙂)