Topics: Starter  Arithmetic  Investigations  Number
A number is called fortuitous if it is equal to the product of the lengths of the words in its spelledout name. E.g., ‘twentyfour’ is 6 x 4 = 24, or ‘eighty four thousand six hundred seventy two’ is 6 x 4 x 8 x 3 x 7 x 7 x 3 = 84,672. (h/t @_FutilityCloset)
— Quite Interesting (@qikipedia) March 24, 2021
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In the game Scrabble, which number when played as a word is the same as its score?
Here is a list of the points available for the letter tiles:
(1 point)A, E, l, O, U, L, N, S, T, R
(2 points)D, G
(3 points)B, C, M, P
(4 points)F, H, V, W, Y
(5 points)K
(8 points)J, X
(10 points)Q, Z
The answer to the Extension is 12.