### About the Number 8,112 (eight thousand one hundred twelve)

RoadHacker (MathBabbler's provider of road signs) did two Tempe AZ to Plainfield IL to Tempe AZ road trips during the summer of 2017. The two road trips totalled 8112.

RoadHacker did a 3828 mile road trip that started in late-May and ended in early-June of 2017. [Tempe AZ to Plainfield IL to Tempe AZ].

RoadHacker did a 4284 mile road trip that started in late-July and ended in early-August of 2017. [Tempe AZ to Plainfield IL to Tempe AZ].

```MathBabbler Number Analyst (MBNA) output:
=========================================
8112 is natural, counting, whole, integer
8112 is even (not odd)
8112 proper divisors are: 1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,
8112 has 29 proper divisors
8112 is abundant (sum of divisors is 14580; ratio: 1.79734)
8112 is happy
8112 is not a Squarefree Number: 4,16,169,676,2704,
8112 is composite (not prime)
8112 has the prime factors: 2*2*2*2*3*13*13 (sum=37)
8112 is a 13-smooth number
8112 is *not* arithmetic (A003601)
8112 is a Zuckerman number
8112 is the sum of 28 consecutive primes
8112 = 211 + 223 + 227 + 229 + 233 + 239 + 241 + 251 + 257 + 263 + 269 + 271 + 277 + 281 + 283 + 293 + 307 + 311 + 313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373
8112 is a nude number
8112 in octal is 017660
8112 in binary is 1111110110000 (is evil)
8112 nearest square numbers: -12...169 (8100...8281 [91])
sqrt(8112) = 90.0666
ln(8112) = 9.0011
log(8112) = 3.90913
8112 is an apocalyptic power (2^8112 contains 666)
8112! is inf
8112 is 2582.13 Pi years
8112 is 405 score and 12 years
8112 is 2029^2 - 2027^2 and 2 * (2029 + 2027)
8112 is a multiple of 1 & it contains a 1 (A011531)
8112 is a multiple of 2 & it contains a 2 (A121022)
8112 is a multiple of 8 & it contains a 8 (A121028)
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8112 reciprocal is 0.0001232741617357001972386587771203155818540433925049309664694280078895463510848126
remainders:
1,10,100,1000,1888,2656,2224,6016,3376,1312,5008,1408,5968,2896,4624,5680,16,160,1600,7888,5872,1936,3136,7024,5344,4768,7120,6304,6256,5776,976,1648,256,2560,1264,4528,4720,6640,1504,6928,4384,3280,352,3520,2752,3184,7504,2032,4096,400,4000,7552,2512,784,7840,5392,5248,3808,5632,7648,3472,2272,6496,64,640,6400,7216,7264,7744,4432,3760,5152,2848,4144,880,688,6880,3904,6592,1024,2128,5056,1888
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 15 August 2017