Saturday 29 April 2017

Blog Post No.91 - The magical number 2187

Another number that provides some fascinating insights on how digits 2, 3, 7 combine and create magic

- 2187 is 3 ^ 7
- 3 x 7 is 21 which are the first two digits
- First digit (2) ^ 3 (sum of first 2 digits) is 3rd digit - 8
- First 2 digits (21) divided by sum of first 2 digits is 4th digit - 7

And for few more medium complex ones,

- 218 + 7 is 225
      - Insert 0 as the 2nd digit makes it 2025 which is 45 ^ 2 and 45 in turn is 27 + 18 or 28 + 17 (sum of digits)
      - Insert 0 as the 3rd digit makes it 2205 which is 441 x 5 (3 ^ 2 x 7 ^ 2 x (3+7)/2)

- 2187 is product of its own digits - 27 x 81

- 2187 can also be written as - ( (7 ^ 3) - (7+3) ^ 2 ) x 3 ^ 2

And best is reserved for the last

21 + 87 is 108 and 87 - 21 is 66. Multiplication of 108 x 66 gives 7128 which is an anagram of 2187

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