## 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 = 1^{7} + 2^{2} + 3^{8} + 4^{9} + 5^{5} + 6^{6} + 7^{1} + 8^{4} + 9^{3}

Lastly, here’s a curious coincidence that involves 323323. The digits 323323 begin at the 985589^{th} 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
- 8
^{1}+ 8^{0}+ 8^{3}+ 8^{3}= 1033

i dialed 323323 0 just in case something magical would happen, but a kid answered so i hung up.

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In Hong Kong, we know that numbers starting with 3 are usually bad news.

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hey that’s cool.

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Glad you liked it.

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Really interesting!

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Numbers represent everything. They are our friends.

Great post Edmark.

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Thanks

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Very cool!😊 Mathematics is indeed the foundation for almost everything!

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:)

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brilliant.

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Ingenious

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I loved the 19683 number 😀 And the log formula, I will remember it especially, useful one 😀

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I used to think 323323 was a cool number until I found out it was sentenced to probation for selling drugs to school-children…

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