Curious Number Patterns #6: 323323, 19683 & Other Miscellaneous Curiosities

old metal numbers

Curious Number 323323

Besides being a palindromic number, 323323 has some other cool properties. For example, it is equal to 7 × 11 × 13 × 17 × 19, which are consecutive primes.

It’s also equal to the sum of consecutive numbers from 1 to 9 wherein each of the number is raised by a power, and the exponents are also the combinations of the pandigital digits 1-9 (728956143).

323323 = 17 + 22 + 38 + 49 + 55 + 66 + 71 + 84 + 93

Lastly, here’s a curious coincidence that involves 323323. The digits 323323 begin at the 985589th decimal place of π (you can check it here) and 985589 is also a palindromic number.

Curious Number 19683

27³ = 19683 and

1 + 9 + 6 + 8 + 3 = 27

Therefore, (1 + 9 + 6 + 8 + 3)³ = 19683

Also,

19683 = 1 × (9 – 6)8 × 3

Miscellaneous Curiosities

  • log 1 + log 2 + log 3 = log (1 + 2 + 3) = log 6.
  • 786330467 = (786 330 + 467)³
  • 81 + 80 + 83 + 83 = 1033
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Posted by

My name Edmark M. Law. I work as a freelance writer, mainly writing about science and mathematics. I am an ardent hobbyist. I like to read, solve puzzles, play chess, make origami and play basketball. In addition, I dabble in magic, particularly card magic and other sleight-of-hand type magic. I live in Hong Kong. You can find me on Twitter` and Facebook. My email is edmarklaw@learnfunfacts.com

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