### About the Number 4,284 (four thousand two hundred eighty-four)

RoadHacker (MathBabbler's provider of road signs) 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:
=========================================
4284 is natural, counting, whole, integer
4284 is even (not odd)
4284 proper divisors are: 1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,
68,84,102,119,126,153,204,238,252,306,357,476,
612,714,1071,1428,2142,
4284 is refactorable (evenly divisable  by # of divisors)
4284 has 35 proper divisors
4284 is abundant (sum of divisors is 8820; ratio: 2.05882)
4284 is happy
4284 is not a Squarefree Number: 4,9,36,
4284 is composite (not prime)
4284 has the prime factors: 2*2*3*3*7*17 (sum=34)
4284 is a 17-smooth number
4284 is the sum of 12 consecutive primes
4284 = 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389
4284 in octal is 010274
4284 in binary is 1000010111100 (is evil)
4284 nearest square numbers: -59...72 (4225...4356 [66])
sqrt(4284) = 65.4523
ln(4284) = 8.36264
log(4284) = 3.63185
4284 is an apocalyptic power (2^4284 contains 666)
4284! is inf
4284 is 1363.64 Pi years
4284 is 214 score and 4 years
4284 is 1072^2 - 1070^2 and 2 * (1072 + 1070)
4284 is a multiple of 2 & it contains a 2 (A121022)
4284 is a multiple of 4 & it contains a 4 (A121024)
4284 is a multiple of 28 & it contains a 28
4284 is a multiple of 42 & it contains a 42
4284 is a multiple of 84 & it contains a 84
________________________________________________
4284 reciprocal is 0.00023342670401493930905695611577964519140989729225
remainders:
1,10,100,1000,1432,1468,1828,1144,2872,3016,172,1720,64,640,2116,4024,1684,3988,1324,388,3880,244,2440,2980,4096,2404,2620,496,676,2476,3340,3412,4132,2764,1936,2224,820,3916,604,1756,424,4240,3844,4168,3124,1252,3952,964,1072,2152,100
```

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