4199 (number)
4,199 (four thousand one hundred ninetynine) is an odd fourdigits composite number following 4198 and preceding 4200. In scientific notation, it is written as 4.199 × 10^{3}. The sum of its digits is 23. It has a total of 3 prime factors and 8 positive divisors. There are 3,456 positive integers (up to 4199) that are relatively prime to 4199.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 4
 Sum of Digits 23
 Digital Root 5
Name
Short name  4 thousand 199 

Full name  four thousand one hundred ninetynine 
Notation
Scientific notation  4.199 × 10^{3} 

Engineering notation  4.199 × 10^{3} 
Prime Factorization of 4199
Prime Factorization 13 × 17 × 19
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  3  Total number of prime factors 
rad(n)  Radical  4199  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 4,199 is 13 × 17 × 19. Since it has a total of 3 prime factors, 4,199 is a composite number.
Divisors of 4199
8 divisors
τ(n)  Total Divisors  8  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  5040  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  841  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  630  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  64.79969135729  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  6.6650793650794  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 4,199 can be divided by 8 positive divisors (out of which 0 are even, and 8 are odd). The sum of these divisors (counting 4,199) is 5,040, the average is 630.
Other Arithmetic Functions (n = 4199)
φ(n)  Euler Totient  3456  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  144  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 578  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 3,456 positive integers (less than 4,199) that are coprime with 4,199. And there are approximately 578 prime numbers less than or equal to 4,199.
Divisibility of 4199
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  4  5  6  7  5 
4,199 is not divisible by any number less than or equal to 9.
Classification of 4199
By Arithmetic functions
 Arithmetic
 Deficient
Expressible via specific sums
 Polite
By Powers
 Square Free
Other numbers
 LucasCarmichael
 Sphenic
Base conversion (4199)
Base  System  Value 

2  Binary  1000001100111 
3  Ternary  12202112 
4  Quaternary  1001213 
5  Quinary  113244 
6  Senary  31235 
8  Octal  10147 
10  Decimal  4199 
12  Duodecimal  251b 
16  Hexadecimal  1067 
20  Vigesimal  a9j 
36  Base36  38n 
Basic calculations (n = 4199)
Multiplication
n×yn×2  8398 

n×3  12597 
n×4  16796 
n×5  20995 
Division
n÷yn÷2  2099.500 

n÷3  1399.666 
n÷4  1049.750 
n÷5  839.800 
Exponentiation
n^{y}n^{2}  17631601 

n^{3}  74035092599 
n^{4}  310873353823201 
n^{5}  1305357212703620999 
Nth Root
^{y}√n^{2}√n  64.79969135729 

^{3}√n  16.13300585968 
^{4}√n  8.0498255482519 
^{5}√n  5.3043133868332 
4199 as geometric shapes
Circle
Radius = nDiameter  8398 

Circumference  26383.095104847 
Area  55391308.172626 
Sphere
Radius = nVolume  310117470689.14 

Surface area  221565232.69051 
Circumference  26383.095104847 
Square
Length = nPerimeter  16796 

Area  17631601 
Diagonal  5938.2827484046 
Cube
Length = nSurface area  105789606 

Volume  74035092599 
Space diagonal  7272.8813409817 
Equilateral Triangle
Length = nPerimeter  12597 

Area  7634707.1876956 
Altitude  3636.4406704909 
Triangular Pyramid
Length = nSurface area  30538828.750782 

Volume  8725119337.0878 
Height  3428.4691433155 
Cryptographic Hash Functions
md5  e0c7ccc47b2613c82d1073a4214deecc 

sha1  aef2a867acf487ce94256c4e3b5ca98cebed8e0a 
sha256  44512bcbfd6b5f9855fa928cb6615a6c8041d6ed678b56fb310518ff4dbebade 
sha512  83c9cce8f35cf1a6cf7399cad36c91c99eb20ff1cd1f213338c3cdfd225afccfef06058ee9c4afd17d87c9eb389952a44a9572b3ac1cfb6ed17afe8a6765a47e 
ripemd160  1b449c01e0ecb01fcd8060150cb65ab798b7634f 