93241 (number)
93,241 (ninetythree thousand two hundred fortyone) is an odd fivedigits prime number following 93240 and preceding 93242. In scientific notation, it is written as 9.3241 × 10^{4}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 93,240 positive integers (up to 93241) that are relatively prime to 93241.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 19
 Digital Root 1
Name
Short name  93 thousand 241 

Full name  ninetythree thousand two hundred fortyone 
Notation
Scientific notation  9.3241 × 10^{4} 

Engineering notation  93.241 × 10^{3} 
Prime Factorization of 93241
Prime Factorization 93241
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  93241  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  11.442942818103  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 93,241 is 93241. Since it has a total of 1 prime factor, 93,241 is a prime number.
Divisors of 93241
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  93242  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  46621  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  305.35389304871  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999785504386  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 93,241 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 93,241) is 93,242, the average is 46,621.
Other Arithmetic Functions (n = 93241)
φ(n)  Euler Totient  93240  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  93240  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8994  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 93,240 positive integers (less than 93,241) that are coprime with 93,241. And there are approximately 8,994 prime numbers less than or equal to 93,241.
Divisibility of 93241
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  1  1  1 
93,241 is not divisible by any number less than or equal to 9.
Classification of 93241
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (93241)
Base  System  Value 

2  Binary  10110110000111001 
3  Ternary  11201220101 
4  Quaternary  112300321 
5  Quinary  10440431 
6  Senary  1555401 
8  Octal  266071 
10  Decimal  93241 
12  Duodecimal  45b61 
16  Hexadecimal  16c39 
20  Vigesimal  bd21 
36  Base36  1zy1 
Basic calculations (n = 93241)
Multiplication
n×yn×2  186482 

n×3  279723 
n×4  372964 
n×5  466205 
Division
n÷yn÷2  46620.500 

n÷3  31080.333 
n÷4  23310.250 
n÷5  18648.200 
Exponentiation
n^{y}n^{2}  8693884081 

n^{3}  810626445596521 
n^{4}  75583620413865214561 
n^{5}  7047492351009206470882201 
Nth Root
^{y}√n^{2}√n  305.35389304871 

^{3}√n  45.345650968489 
^{4}√n  17.474378187755 
^{5}√n  9.861009666451 
93241 as geometric shapes
Circle
Radius = nDiameter  186482 

Circumference  585850.48122673 
Area  27312642360.031 
Sphere
Radius = nVolume  3.3955441150555E+15 

Surface area  109250569440.12 
Circumference  585850.48122673 
Square
Length = nPerimeter  372964 

Area  8693884081 
Diagonal  131862.68676923 
Cube
Length = nSurface area  52163304486 

Volume  810626445596521 
Space diagonal  161498.14934853 
Equilateral Triangle
Length = nPerimeter  279723 

Area  3764562235.8516 
Altitude  80749.074674265 
Triangular Pyramid
Length = nSurface area  15058248943.406 

Volume  95533242781741 
Height  76130.957702282 
Cryptographic Hash Functions
md5  45c1824b0a9aea167565a29e700a1ca1 

sha1  42fbf9098a457724e792dcf6bdd8aba46d543418 
sha256  806dc18d68d0fb937e6b11c8da6c6ba4eebe6cbac287fc4eda7795ab09ea1cc3 
sha512  1a5f20672e1b665003108e9a49682e220abb285b8859339d61c973858495c37f1c3112278b6e2242a07ba9ee5420e0912dad38d288bdf850cf8107d0d5e74de4 
ripemd160  1e81c63c4afddaec0ae826de1f289352d4dc1382 