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The octree is equal to 39 = 19,683.

19,683 is a number equal to (33)3 = 332 = 39 = 273. It can be written as \(3 \downarrow \downarrow 3\) in down-arrow notation, and therefore it shows up frequently when working with threes in down-arrow notation, analogous to 7,625,597,484,987 in up-arrow notation.

With the fuga- prefix, this number can be named "fugathree".

19,683's digits add up to its cube root: 1+9+6+8+3 = 27, and 273 = 19,683. It is the largest number with that property.

See also Edit

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