About the Number 4000 (four thousand)

MathBabbler was surprised to discover he did not have a nBAB for the number 4000 when he created a nBAB for the number 5000 on 14 June 2012. There is now a nBAB for the number 4000. In addition, when this nBAB was created there were nBAB collections for numbers that were multiples of ten and numbers that were multiples of 100. Now there is a collection of nBABs for number that are multiples of 1000.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   4000 is a natural, whole, integer
   4000 is even
   4000 proper divisors are: 1,2,4,5,8,10,16,20,25,32,40,50,80,100,
                             125,160,200,250,400,500,800,1000,2000,
   4000 is abundant (sum of divisors is 5828)
   4000 is unhappy
   4000 is not a Squarefree Number: 4,16,25,100,400,
   4000 is a Harshad number
   4000 is not prime
   4000 has the prime factors: 2*2*2*2*2*5*5*5 (sum=25)
   4000 sum of prime factors is: 25
   4000 is the sum of 40 consecutive primes
   4000 = 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 
          59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 
          109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 
          167 + 173 + 179 + 181 + 191 + 193 + 197
   4000 in octal is 07640
   4000 in hexadecimal is 0xfa0
   4000 in binary is 111110100000 (is evil)
   4000 nearest square numbers: -31...96 (3969...4096 [64])
   sqrt(4000) = 63.2456
   ln(4000) = 8.29405
   log(4000) = 3.60206
   4000 reciprocal is .00025000000000000000000000000000
   4000 is an apocalyptic power
   4000! is inf
   4000 is 1273.24 Pi years
   4000 is 200 scoreyears
   4000 = 1001^2 - 999^2 and 2 * (1001 + 999) = 4000

log14(4000) = 3.14281, which when rounded to the nearest hundredth equals Pi rounded to the nearest hundredth.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 16 June 2012

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