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 [32])
   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

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