### About the Number 3,828 (three thousand eight hundred twenty-eight)

RoadHacker (MathBabbler's provider of road signs) 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].

```MathBabbler Number Analyst (MBNA) output:
=========================================
3828 is natural, counting, whole, integer
3828 is even (not odd)
3828 proper divisors are: 1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,
3828 has 23 proper divisors
3828 is abundant (sum of divisors is 6252; ratio: 1.63323)
3828 is unhappy
3828 is not a Squarefree Number: 4,
3828 is composite (not prime)
3828 has the prime factors: 2*2*3*11*29 (sum=47)
3828 is a 29-smooth number
3828 is triangular
3828 is the sum of 24 consecutive primes
3828 = 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211 + 223 + 227
3828 in octal is 07364
3828 in hexadecimal is 0xef4
3828 in binary is 111011110100 (is evil)
3828 nearest square numbers: -107...16 (3721...3844 )
sqrt(3828) = 61.8708
ln(3828) = 8.2501
log(3828) = 3.58297
3828 is an apocalyptic power (2^3828 contains 666)
3828! is inf
3828 is 1218.49 Pi years
3828 is 191 score and 8 years
3828 written as a Roman numeral is MMMDCCCXXVIII
3828 is 958^2 - 956^2 and 2 * (958 + 956)
3828 is a multiple of 2 & it contains a 2 (A121022)
3828 is a multiple of 3 & it contains a 3 (A121023)
____________________________
3828 reciprocal is 0.000261233019853709508881922675
remainders:
1,10,100,1000,2344,472,892,1264,1156,76,760,3772,3268,2056,1420,2716,364,3640,1948,340,3400,3376,3136,736,3532,868,1024,2584,2872,1924,100
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 15 August 2017 This work is licensed under a Creative Commons Attribution 3.0 United States License.