33613 (number)
33,613 (thirtythree thousand six hundred thirteen) is an odd fivedigits prime number following 33612 and preceding 33614. In scientific notation, it is written as 3.3613 × 10^{4}. The sum of its digits is 16. It has a total of 1 prime factor and 2 positive divisors. There are 33,612 positive integers (up to 33613) that are relatively prime to 33613.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 16
 Digital Root 7
Name
Short name  33 thousand 613 

Full name  thirtythree thousand six hundred thirteen 
Notation
Scientific notation  3.3613 × 10^{4} 

Engineering notation  33.613 × 10^{3} 
Prime Factorization of 33613
Prime Factorization 33613
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  33613  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  10.422668175885  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 33,613 is 33613. Since it has a total of 1 prime factor, 33,613 is a prime number.
Divisors of 33613
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  33614  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  16807  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  183.33848477611  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999405009817  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,613 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 33,613) is 33,614, the average is 16,807.
Other Arithmetic Functions (n = 33613)
φ(n)  Euler Totient  33612  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  33612  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3596  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 33,612 positive integers (less than 33,613) that are coprime with 33,613. And there are approximately 3,596 prime numbers less than or equal to 33,613.
Divisibility of 33613
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  6  5  7 
33,613 is not divisible by any number less than or equal to 9.
Classification of 33613
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (33613)
Base  System  Value 

2  Binary  1000001101001101 
3  Ternary  1201002221 
4  Quaternary  20031031 
5  Quinary  2033423 
6  Senary  415341 
8  Octal  101515 
10  Decimal  33613 
12  Duodecimal  17551 
16  Hexadecimal  834d 
20  Vigesimal  440d 
36  Base36  pxp 
Basic calculations (n = 33613)
Multiplication
n×yn×2  67226 

n×3  100839 
n×4  134452 
n×5  168065 
Division
n÷yn÷2  16806.500 

n÷3  11204.333 
n÷4  8403.250 
n÷5  6722.600 
Exponentiation
n^{y}n^{2}  1129833769 

n^{3}  37977102477397 
n^{4}  1276524345572745361 
n^{5}  42907812827736689819293 
Nth Root
^{y}√n^{2}√n  183.33848477611 

^{3}√n  32.272734005397 
^{4}√n  13.540254236022 
^{5}√n  8.0408406419128 
33613 as geometric shapes
Circle
Radius = nDiameter  67226 

Circumference  211196.70773023 
Area  3549477468.4681 
Sphere
Radius = nVolume  1.5907811486349E+14 

Surface area  14197909873.872 
Circumference  211196.70773023 
Square
Length = nPerimeter  134452 

Area  1129833769 
Diagonal  47535.960472047 
Cube
Length = nSurface area  6779002614 

Volume  37977102477397 
Space diagonal  58219.423794813 
Equilateral Triangle
Length = nPerimeter  100839 

Area  489232373.00376 
Altitude  29109.711897406 
Triangular Pyramid
Length = nSurface area  1956929492.015 

Volume  4475644448597.3 
Height  27444.899574724 
Cryptographic Hash Functions
md5  d957c740b68c99460027ce006a09d2ba 

sha1  d7d22c3466abe4b78049f50ef01553d9fa7bb4a7 
sha256  d6d8fb97683803342e2fd01b6e535b437189ba49e12a7a78d866aab901dc21c4 
sha512  0354abbd61f4402ea863868a2c3fac0098fe39895e5ced5941cb459b86cc62e2a95f4fa53b2d3bce5eacead83b994d13d388d27db2d2a2336159cdbcf3e7389c 
ripemd160  618c4e3a3c82ea072f3fc990543290166b6d19e3 