A few days ago, I have posted the surprising number patterns on this site. I still have some number patterns which we are able to be interested on it.
What about you?
And, here they are.
Notice (below) how various products of 76,923 yield numbers in the same order but with a different starting point. Here the first digit of the product goes to the end of the number to form the next product. Otherwise, the order of the digits is intact.
76,923 . 1 = 076,923
76,923 . 10 = 769,230
76,923 . 9 = 692,307
76,923 . 12 = 923,076
76,923 . 3 = 230,769
76,923 . 4 = 307,692
Notice (below) how various products of 76,923 yield different numbers from those above, yet again, in the same order but with a different starting point. Again, the first digit of the product goes to the end of the number to form the next product. Otherwise, the order of the digits is intact.
76,923 . 2 = 153,846
76,923 . 7 = 538,461
76,923 . 5 = 384,615
76,923 . 11 = 846,153
76,923 . 6 = 461,538
76,923 . 8 = 615,384
Another peculiar number is 142,857. When it is multiplied by the numbers 2 through 8, the results are astonishing. Consider the following products and describe the peculiarity.
142,857 . 2 = 285,714
142,857 . 3 = 428,571
142,857 . 4 = 571,428
142,857 . 5 = 714,285
142,857 . 6 = 857,142
You can see symmetries in the products but notice also that the same digits are used in the product as in the first factor. Furthermore, consider the order of the digits. With the exception of the starting point, they are in the same sequence.
Now look at the product, 142,857 . 7 = 999,999. Surprised?
It gets even stranger with the product, 142,857 . 8 = 1,142,856. If we remove the millions digit and add it to the units digit, the original number is formed.
