Mathemagical Black Holes! Here’s an interesting fact you probably didn’t know about !
Mathemagical black holes
The physical universe contains strange objects called black holes, whose gravitational field is so powerful not even light can escape. The mathematical universe also contains black holes, seemingly innocuous numbers from which no other number can escape . . .
The Sisyphus Number
To find a Sisyphus number:
- Choose any positive whole number and write it down.
- Count the number of even digits, the number of odd digits, and the total number of digits.
- Record these digits (including zero if it is one of your values) as a new number.
- Repeat this process.
Example #1 Even, Odd, and Total Digits
Start with any number, say 9288759
Count the number of even digits,
the number of odd digits,
the total number of digits.You get 347
Repeat and you get 123
Repeat and you get 123
Once you reach 123, you never get out, just as reaching a black hole in physics implies no escape.
Words to Numbers (From Martin Gardner)
- Start with any whole number, and write out its numeral in English.
- Start with the number 163 -> ONE-HUNDRED SIXTY-THREE
- Count the number of characters in its spelling (count spaces and hyphens).
- 23 -> 12 -> 6 -> 3 -> 5 -> 4
- Repeat and you get 4.
- Repeat and you get 4.
- Once you reach 4, you never get out, so you have reached the black hole.
Not satisfied with just the numbers? Try it with your own name! Let’s say you are Kaushik
Kaushik — 7
Seven — 5
Five — 4
Four — 4!
The Narcissis Number
- Choose a positive multiple of three and write it down. (Recall that the digits of any multiple of three sum to a multiple of three this makes it easy to produce large multiples of three.)
- Take the cube of each digit of your number. (A calculator may be useful here.)
- Add up the cubes to form a new number.
- Repeat the process
Satisfied now? Then why do they call ‘blackhole’ number?
Thinking of this number “could cause a BLACK HOLE to form in your brain”
You cannot escape this loop, in the same sense that you cannot escape a BH. So the name.
You can do this with any number and you will always, eventually, wind up at four.
We get stuck at four because its the only no. in the English language, spelled with the same no. of letters as the quantity it represents.
YOU MIGHT WANNA READ THAT LINE AGAIN. ITS CRUX OF THIS ANSWER.
Thanks Four Reading.