The Strange Case of 142,857
Okay, it's just a number, right? But did you know that when it is multiplied and manipulated, it displays some really amazing properties? For example:
142,857 x 1 = 142,857
142,857 x 2 = 285,714
142,857 x 3 = 428,571
142,857 x 4 = 571,428
142,857 x 5 = 714,285
142,857 x 6 = 857,142
Did you notice anything?
It's always the same numbers moving along as if on a ribbon... simply amazing !
And how about
142,857 x 7 = 999,999
And if we add 142 + 857= 999
And if we add 14 + 28 + 57= 99
Or
142,857 x 142,857 = 20,408,122,449
Then
20,408 + 122,449 = 142,857
And how about
142,857 x 8 = 1,142,856
Remove the first digit (1) and add it to the last digit (6) and we get 142,857
And how about
142,857 x 9 = 1,285,713
Remove the last digit (3) and add it to the first digit (1) and then move the second to last digit (1) to the front and we get 142,857
And how about
142,857 x 11 = 1,571,427
Remove the first digit (1) and add it to the last digit (7) and then move the second and third digit (5,7) to the end and we get 142,857
And how about
142,857 x 12 = 1,714,284
Take the first digit (1) and add it to the last digit (4) and then move the second digit (7) to the end and we get 142,857
And how about
142,857 x 15 = 2,142,855
Remove the first digit (2) and add it to the last digit (5) and we get 142,857
Try to discover some more interesting mathematical manipulations involving 142,857.
Monday, April 19, 2010
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