### About the Number 999 (nine hundred ninety-nine)

MathBabbler's Number Analyst (MBNA) started checking for Kaprekar numbers on 1 June 2012. He was surprised to discover that there was nBAB for the Kaprekar number 999.

```   MathBabbler Number Analyst (MBNA) output:
=========================================
999 is a natural, whole, integer
999 is odd
999 proper divisors are: 1,3,9,27,37,111,333,
999 is deficient (sum of divisors is 521)
999 is unhappy
999 is not a Squarefree Number: 9,
999 is a Harshad number
999 is not prime
999 has the prime factors: 3*3*3*37 (sum=46)
999 sum of prime factors is: 46
999 is undulating
999 is palindromic
999 is repdigit in base-10
999 is Kaprekar
999 in octal is 01747
999 in hexadecimal is 0x3e7
999 in binary is 1111100111 (is evil)
999 nearest square numbers: -38...25 (961...1024 )
sqrt(999) = 31.607
ln(999) = 6.90675
log(999) = 2.99957
999 reciprocal is .00100100100100100100100100100100
999! is 4.02387e+2564
999 is 317.992 Pi years
999 is 49 score and 19 years
999 written as a Roman numeral is CMXCIX
999 = 500^2 - 499^2 and 500 + 499 = 999
```

`999` is a Kaperak number because `999^2` is 998001. 998001 when split into two 3-digit numbers are the numbers 998 and 1. The sum of 998 and 1 is `999`.

`log9(999)` = 3.1434, which when rounded to the nearest hundredth (3.14) equals Pi (3.141592653589793238) rounded to the nearest hundredth (3.14).

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 01 June 2012 