93053 (number)
93,053 (ninetythree thousand fiftythree) is an odd fivedigits prime number following 93052 and preceding 93054. In scientific notation, it is written as 9.3053 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 93,052 positive integers (up to 93053) that are relatively prime to 93053.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  93 thousand 53 

Full name  ninetythree thousand fiftythree 
Notation
Scientific notation  9.3053 × 10^{4} 

Engineering notation  93.053 × 10^{3} 
Prime Factorization of 93053
Prime Factorization 93053
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  93053  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  11.440924502281  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 93,053 is 93053. Since it has a total of 1 prime factor, 93,053 is a prime number.
Divisors of 93053
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  93054  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  46527  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  305.04589818583  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999785071034  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 93,053 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 93,053) is 93,054, the average is 46,527.
Other Arithmetic Functions (n = 93053)
φ(n)  Euler Totient  93052  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  93052  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8978  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 93,052 positive integers (less than 93,053) that are coprime with 93,053. And there are approximately 8,978 prime numbers less than or equal to 93,053.
Divisibility of 93053
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  2  5  2 
93,053 is not divisible by any number less than or equal to 9.
Classification of 93053
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (93053)
Base  System  Value 

2  Binary  10110101101111101 
3  Ternary  11201122102 
4  Quaternary  112231331 
5  Quinary  10434203 
6  Senary  1554445 
8  Octal  265575 
10  Decimal  93053 
12  Duodecimal  45a25 
16  Hexadecimal  16b7d 
20  Vigesimal  bccd 
36  Base36  1zst 
Basic calculations (n = 93053)
Multiplication
n×yn×2  186106 

n×3  279159 
n×4  372212 
n×5  465265 
Division
n÷yn÷2  46526.500 

n÷3  31017.666 
n÷4  23263.250 
n÷5  18610.600 
Exponentiation
n^{y}n^{2}  8658860809 

n^{3}  805732974859877 
n^{4}  74975870509636134481 
n^{5}  6976729678533171221860493 
Nth Root
^{y}√n^{2}√n  305.04589818583 

^{3}√n  45.315153946815 
^{4}√n  17.465563208378 
^{5}√n  9.8570299433739 
93053 as geometric shapes
Circle
Radius = nDiameter  186106 

Circumference  584669.24238898 
Area  27202613506.011 
Sphere
Radius = nVolume  3.3750463927665E+15 

Surface area  108810454024.04 
Circumference  584669.24238898 
Square
Length = nPerimeter  372212 

Area  8658860809 
Diagonal  131596.8146195 
Cube
Length = nSurface area  51953164854 

Volume  805732974859877 
Space diagonal  161172.52379671 
Equilateral Triangle
Length = nPerimeter  279159 

Area  3749396714.2137 
Altitude  80586.261898353 
Triangular Pyramid
Length = nSurface area  14997586856.855 

Volume  94956541724838 
Height  75977.456345068 
Cryptographic Hash Functions
md5  023ebcfd3444e1cdc7aeb1421510f237 

sha1  275d1a6d9e55891d0381862e3c61e99f6913a705 
sha256  7b23a0870e11ececd2ceeda49b7428c0c42a289ba1454bab1d1276fe42ca8ada 
sha512  1f3c5fa2d6f8e421067405b4c72c2f291953018ade869dd6624a2562ae116d6f3b57ccc6a4a60fd4fb5b53dc29d229dc0addb4ed56f16c181bef639e1aa2a64d 
ripemd160  467857952d14de4a01f83e8b3a32b416401724ff 