Sunday, March 15, 2009

Will you be interested on this more number patterns?

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.

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