33301 (number)
33,301 (thirtythree thousand three hundred one) is an odd fivedigits prime number following 33300 and preceding 33302. In scientific notation, it is written as 3.3301 × 10^{4}. The sum of its digits is 10. It has a total of 1 prime factor and 2 positive divisors. There are 33,300 positive integers (up to 33301) that are relatively prime to 33301.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 10
 Digital Root 1
Name
Short name  33 thousand 301 

Full name  thirtythree thousand three hundred one 
Notation
Scientific notation  3.3301 × 10^{4} 

Engineering notation  33.301 × 10^{3} 
Prime Factorization of 33301
Prime Factorization 33301
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  33301  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  10.413342705548  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 33,301 is 33301. Since it has a total of 1 prime factor, 33,301 is a prime number.
Divisors of 33301
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  33302  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  16651  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  182.4856158715  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999399435469  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,301 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 33,301) is 33,302, the average is 16,651.
Other Arithmetic Functions (n = 33301)
φ(n)  Euler Totient  33300  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  33300  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3566  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 33,300 positive integers (less than 33,301) that are coprime with 33,301. And there are approximately 3,566 prime numbers less than or equal to 33,301.
Divisibility of 33301
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  2  5  1 
33,301 is not divisible by any number less than or equal to 9.
Classification of 33301
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Shape (2D, centered)
 Star
By Powers
 Prime Power
 Square Free
Base conversion (33301)
Base  System  Value 

2  Binary  1000001000010101 
3  Ternary  1200200101 
4  Quaternary  20020111 
5  Quinary  2031201 
6  Senary  414101 
8  Octal  101025 
10  Decimal  33301 
12  Duodecimal  17331 
16  Hexadecimal  8215 
20  Vigesimal  4351 
36  Base36  pp1 
Basic calculations (n = 33301)
Multiplication
n×yn×2  66602 

n×3  99903 
n×4  133204 
n×5  166505 
Division
n÷yn÷2  16650.500 

n÷3  11100.333 
n÷4  8325.250 
n÷5  6660.200 
Exponentiation
n^{y}n^{2}  1108956601 

n^{3}  36929363769901 
n^{4}  1229784742901473201 
n^{5}  40953061723361959066501 
Nth Root
^{y}√n^{2}√n  182.4856158715 

^{3}√n  32.172570290454 
^{4}√n  13.508723695135 
^{5}√n  8.025857694381 
33301 as geometric shapes
Circle
Radius = nDiameter  66602 

Circumference  209236.35391439 
Area  3483889910.8515 
Sphere
Radius = nVolume  1.5468935722835E+14 

Surface area  13935559643.406 
Circumference  209236.35391439 
Square
Length = nPerimeter  133204 

Area  1108956601 
Diagonal  47094.725840586 
Cube
Length = nSurface area  6653739606 

Volume  36929363769901 
Space diagonal  57679.023942851 
Equilateral Triangle
Length = nPerimeter  99903 

Area  480192294.08022 
Altitude  28839.511971426 
Triangular Pyramid
Length = nSurface area  1920769176.3209 

Volume  4352167257767 
Height  27190.152641474 
Cryptographic Hash Functions
md5  15577bd89f95fbe74ff708dd9d3c49a8 

sha1  bca2c3315e603e5c553ee92c7ef10fd2827f91bf 
sha256  18d57e565bcf6462274e7f6a4f0f1b3358025f9545f11d6bc1eb02576d66b437 
sha512  2df030640dcc01542aa5a6109aacace2b00d83192380c04b39ed09faee6d92899084b2b0cc78dcf6db7a51729dac0db2b5bf6c2b3a4eae18f4e1be3c36d97d72 
ripemd160  c5fcd0669741bb426e3242255e54b9ffe220cce6 