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

`is a Kaperak number because`

999`is 998001. 998001 when split into two 3-digit numbers are the numbers 998 and 1. The sum of 998 and 1 is`

999^2`.`

999

`= 3.1434, which when rounded to the nearest hundredth (3.14) equals`

log_{9}(999)Pi(3.141592653589793238) rounded to the nearest hundredth (3.14).

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 01 June 2012

This work is licensed under a Creative Commons Attribution 3.0 United States License.