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Hi! I'm
Bret Hudson
The kid who wanted to do everything. I'm a Seattle-based software/web developer who makes indie games in his free time. Check out my works!

2024: Patterns in the New Year

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 104 x 520d
24=2 x 124 x 620z*
* 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.

Base20242024
Base 2111111010002101002110002
Base 32202222320232203
Base 4133220411041204
Base 5310445405445
Base 6132126326406
Base 756217267337
Base 837508248308
Base 926889229269
Base 1020241020102410
Base 1115801119112211
Base 1212081218122012
Base 13bc91317131b13
Base 14a481416141a14
Base 158ee1515151915
Base 167e81614161816
Base 177011713171717
Base 186481812181618
Base 195ba1911191519
Base 205142010201420

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:

  1. [...] 6 4 2 0 2 4 6 8 6 4 2 0 2 4 6 [...]
  2. [...] 8 4 2 0 2 4 8 16 32 64 128 [...]
  3. [...] 2 4 2 0 2 4 2 0 2 4 2 0 2 4 2 [...]
  4. [...] 0 0 2 0 2 4 0 2 4 6 0 2 4 6 8 0 [...]
  5. [...] 1 6 2 0 2 4 2 8 3 2 3 6 4 0 4 4 [...]
  6. [...] 1 2 2 0 2 4 3 0 3 6 4 0 4 8 5 0 [...]
  7. [..] -2 2 2 0 2 4 4 6 10 14 20 30 44 [...]
  8. 2 0 2 4 2 8 2 12 2 16 2 20 [...]
  9. 2 0 2 4 2 8 2 16 2 32 2 64 [...]
  10. 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 🙂)