This nBAB about the number

`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.`

2112MathBabbler 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 MMCXIIArizona will turn 200 years of age in the year

`.`

2112

`is a`

2112happy 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

`is a happy number.`

21122^2 + 1^2 + 1^2 + 2^2 = 10 1^0 + 0^1 = 1

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

**Created:** 27 February 2009

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