About the Number 2112 (two thousand one hundred twelve)

This nBAB about the number 2112 came about as a result of a nBAB about the number 31. The nBAB about number 31 prompted nBABs to be created for the numbers 80, 30, and 70 (in that order). The nBAB about the number 70 was BAB# 2112. This in of itself would not have prompted MathBabbler to create this nBAB, but 2112 was the name of one of MathBabbler's favorite albums when he was going to college. Note: The Canadian band Rush released the album 2112 in 1976.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   2112 is a natural, whole, integer
   2112 is even
   2112 proper divisors are: 1,2,3,4,6,8,11,12,16,22,24,32,33,44,
                             48,64,66,88,96,132,176,192,264,352,
                             528,704,1056,
   2112 is abundant (sum of divisors is 3984)
   2112 is happy
   2112 is a Harshad number
   2112 is not prime
   2112 has the prime factors: 2*2*2*2*2*2*3*11
   2112 in octal is 04100
   2112 in hexadecimal is 0x840
   2112 in binary is 100001000000 (is evil)
   2112 nearest square numbers: -87...4 (2025...2116 [46])
   sqrt(2112) = 45.9565
   ln(2112) = 7.65539
   log(2112) = 3.32469
   2112 reciprocal is .00047348484848484848484848484848
   2112! is inf
   2112 is 672.27 Pi years
   2112 is 105 score and 12 years
   2112 written as a Roman numeral is MMCXII

Arizona will turn 200 years of age in the year 2112.

2112 is a happy number. MathBabbler knows that lots of people got happy while listening to the album 2112.

What's a happy number?

   "A happy number is defined by the following process. Starting 
    with any positive integer, replace the number by the sum of 
    the squares of its digits, and repeat the process until the 
    number equals 1 (where it will stay), or it loops endlessly 
    in a cycle which does not include 1. Those numbers for which 
    this process ends in 1 are happy numbers while those that do 
    not end in 1 are unhappy numbers."
   [source: Wikipedia]

It only takes two iterations to see that 2112 is a happy number.

   2^2 + 1^2 + 1^2 + 2^2 = 10
   1^0 + 0^1 = 1

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 27 February 2009

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