Mathemagical BlackHole..

The Sisyphus String: 123

Suppose we start with any natural number, regarded as a string, such as 9288759. Count the number of even digits, the number of odd digits, and the total number of digits. These are 3 (three evens), 4 (four odds), and 7 (seven is the total number of digits), respectively. So, use these digits to form the next string or number, 347.

Now repeat with 347, counting evens, odds, total number, to get 1, 2, 3, so write down 123. If we repeat with 123, we get 123 again. The number 123 with respect to this process and the universe of numbers is a mathemagical black hole. All numbers in this universe are drawn to 123 by this process, never to escape.

But will every number really be sent to 123? Try a really big number now, say 122333444455555666666777777788888888999999999 (or pick one of your
own).

The numbers of evens, odds, and total are 20, 25, and 45, respectively. So, our next iterate is 202545, the number obtained from 20, 25, 45. Iterating for 202545 we find 4, 2, and 6 for evens, odds, total, so we have 426 now. One more iteration using 426 produces 303, and a final iteration from 303 produces 123.

At this point, any further iteration is futile in trying to get away from the black hole of 123.
Interested?



Terjemahan..
Intinya..
Ambil sebuah bilangan yang terdiri dari berapa angka pun terserah anda..
Trus..
Hitung jumlah angka genap, ganjil dan jumlah angka yang ada..
contoh : 2548876416983184 memiliki angka genap sebanyak 10 buah, angka ganjil sebanyak 6 buah, dan total angka yang ada adalah 16 buah..
Dari hasil tersebut, bila digabung akan menjadi 10616 dan jika dihitung lagi angka genap, ganjil dan jumlah angka yang ada, akan mendapat bilangan 325..
Dan bila diteruskan akan didapat 123 dan hanya akan tetap menuju 123..
Angka berapapun yang anda gunakan, hasil akhirnya akan tetap 123..
Tertarik?

Quote :

"the more things we try to learn in life,
the more things we don't know in life.."

- tedus -