33829 (number)
33,829 (thirtythree thousand eight hundred twentynine) is an odd fivedigits prime number following 33828 and preceding 33830. In scientific notation, it is written as 3.3829 × 10^{4}. The sum of its digits is 25. It has a total of 1 prime factor and 2 positive divisors. There are 33,828 positive integers (up to 33829) that are relatively prime to 33829.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 25
 Digital Root 7
Name
Short name  33 thousand 829 

Full name  thirtythree thousand eight hundred twentynine 
Notation
Scientific notation  3.3829 × 10^{4} 

Engineering notation  33.829 × 10^{3} 
Prime Factorization of 33829
Prime Factorization 33829
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  33829  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  10.429073701775  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 33,829 is 33829. Since it has a total of 1 prime factor, 33,829 is a prime number.
Divisors of 33829
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  33830  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  16915  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  183.92661580098  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999940880875  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,829 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 33,829) is 33,830, the average is 16,915.
Other Arithmetic Functions (n = 33829)
φ(n)  Euler Totient  33828  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  33828  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3616  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 33,828 positive integers (less than 33,829) that are coprime with 33,829. And there are approximately 3,616 prime numbers less than or equal to 33,829.
Divisibility of 33829
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  5  5  7 
33,829 is not divisible by any number less than or equal to 9.
Classification of 33829
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (33829)
Base  System  Value 

2  Binary  1000010000100101 
3  Ternary  1201101221 
4  Quaternary  20100211 
5  Quinary  2040304 
6  Senary  420341 
8  Octal  102045 
10  Decimal  33829 
12  Duodecimal  176b1 
16  Hexadecimal  8425 
20  Vigesimal  44b9 
36  Base36  q3p 
Basic calculations (n = 33829)
Multiplication
n×yn×2  67658 

n×3  101487 
n×4  135316 
n×5  169145 
Division
n÷yn÷2  16914.500 

n÷3  11276.333 
n÷4  8457.250 
n÷5  6765.800 
Exponentiation
n^{y}n^{2}  1144401241 

n^{3}  38713949581789 
n^{4}  1309654200402340081 
n^{5}  44304291945410762600149 
Nth Root
^{y}√n^{2}√n  183.92661580098 

^{3}√n  32.341715567463 
^{4}√n  13.561954719028 
^{5}√n  8.0511484057505 
33829 as geometric shapes
Circle
Radius = nDiameter  67658 

Circumference  212553.87575658 
Area  3595242531.4846 
Sphere
Radius = nVolume  1.6216461279679E+14 

Surface area  14380970125.939 
Circumference  212553.87575658 
Square
Length = nPerimeter  135316 

Area  1144401241 
Diagonal  47841.430601519 
Cube
Length = nSurface area  6866407446 

Volume  38713949581789 
Space diagonal  58593.546769248 
Equilateral Triangle
Length = nPerimeter  101487 

Area  495540273.41422 
Altitude  29296.773384624 
Triangular Pyramid
Length = nSurface area  1982161093.6569 

Volume  4562482712632.9 
Height  27621.262836204 
Cryptographic Hash Functions
md5  5e8900c415afdd93abdc76e826e3a51f 

sha1  65fda2ef19c24ca90a7b142076ea5a19dd075b28 
sha256  8ecb81db3d1cadcc11df1d1420b745a57f52b6fb908fb6fd4bd0894fbe6ba2f3 
sha512  5199acbb228503dc90c6c3a393aa4e82bc3ffa4a0abb3732bced5f5db60adec307b336a4c8ee14ad21fdbf0397147ea27fa8d0139ee3e6e06e2c632ed4d24c0c 
ripemd160  96d13507a71eda947237f4ce775f5bd1b0edfc90 