Phoenix number

I have read about the folklore concerning the phoenix, a legendary immortal bird that cyclically regenerates or is otherwise born again. Associated with the Sun, a phoenix obtains new life by rising from the ashes of its predecessor. Some legends say it dies in a show of flames and combustion, while others say that it simply burns to death and decomposes before being born again. This is the origin of the popular phrase “ Phoenix has arisen from ashes .”

However, my friend shared interesting information regarding the Phoenix number, 1/7, a number that refuses to die or get destructed. When we divide 1 by 7 we get an answer in which six digits get repeated endlessly- 0.142857142857……….. That’s not all if you divide 142857 by numbers 2,3,4 5 or 6, the answer is same six digits in a cyclical order as shown below:

142857X2 = 285714

142857X3 = 428571

142857X4 = 571428

142857X5 = 714285

142857X6 = 857142

No matter what we do, the number refuses to die, with the same digits changing places in a cyclical order. However, when we multiply this number by 7, the number that created it, the cycle ends as the result is 999999. It’s destroyed by the very number that created it!

The mystery, however, doesn’t end here, as shown below:

142 + 857 = 999

14+28+57 = 99

1+4+2+8+5+7= 27 = 9

The magic is not yet over. Let’s multiply 142857 by 8 and 9 and see what happens

142857X8 = 1142856

If we add the leading digit, 142857 is reborn.

142856+1 = 142857

142857X9 = 1285713

285713+1 = 285714

And this repeats endlessly!

142857 – born from 7, destroyed by 7 and reborn from the ashes. Phoenix number that never dies.