95311 (number)
95,311 (ninetyfive thousand three hundred eleven) is an odd fivedigits prime number following 95310 and preceding 95312. In scientific notation, it is written as 9.5311 × 10^{4}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 95,310 positive integers (up to 95311) that are relatively prime to 95311.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 19
 Digital Root 1
Name
Short name  95 thousand 311 

Full name  ninetyfive thousand three hundred eleven 
Notation
Scientific notation  9.5311 × 10^{4} 

Engineering notation  95.311 × 10^{3} 
Prime Factorization of 95311
Prime Factorization 95311
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  95311  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  11.464900507955  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 95,311 is 95311. Since it has a total of 1 prime factor, 95,311 is a prime number.
Divisors of 95311
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  95312  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  47656  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  308.72479654216  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999790162834  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 95,311 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 95,311) is 95,312, the average is 47,656.
Other Arithmetic Functions (n = 95311)
φ(n)  Euler Totient  95310  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  95310  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9174  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 95,310 positive integers (less than 95,311) that are coprime with 95,311. And there are approximately 9,174 prime numbers less than or equal to 95,311.
Divisibility of 95311
m  2  3  4  5  6  7  8  9 

n mod m  1  1  3  1  1  6  7  1 
95,311 is not divisible by any number less than or equal to 9.
Classification of 95311
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (95311)
Base  System  Value 

2  Binary  10111010001001111 
3  Ternary  11211202001 
4  Quaternary  113101033 
5  Quinary  11022221 
6  Senary  2013131 
8  Octal  272117 
10  Decimal  95311 
12  Duodecimal  471a7 
16  Hexadecimal  1744f 
20  Vigesimal  bi5b 
36  Base36  21jj 
Basic calculations (n = 95311)
Multiplication
n×yn×2  190622 

n×3  285933 
n×4  381244 
n×5  476555 
Division
n÷yn÷2  47655.500 

n÷3  31770.333 
n÷4  23827.750 
n÷5  19062.200 
Exponentiation
n^{y}n^{2}  9084186721 

n^{3}  865822920565231 
n^{4}  82522448381992731841 
n^{5}  7865297077736109264497551 
Nth Root
^{y}√n^{2}√n  308.72479654216 

^{3}√n  45.678763792772 
^{4}√n  17.570566198679 
^{5}√n  9.9044098919473 
95311 as geometric shapes
Circle
Radius = nDiameter  190622 

Circumference  598856.67481259 
Area  28538814266.532 
Sphere
Radius = nVolume  3.6267505687432E+15 

Surface area  114155257066.13 
Circumference  598856.67481259 
Square
Length = nPerimeter  381244 

Area  9084186721 
Diagonal  134790.10884334 
Cube
Length = nSurface area  54505120326 

Volume  865822920565231 
Space diagonal  165083.4945202 
Equilateral Triangle
Length = nPerimeter  285933 

Area  3933568236.5536 
Altitude  82541.747260099 
Triangular Pyramid
Length = nSurface area  15734272946.215 

Volume  1.0203820973974E+14 
Height  77821.105624802 
Cryptographic Hash Functions
md5  e40e86f8c734f13e12a629ca69b53a1e 

sha1  6cbd540316e4b8b8584a5577fd598884b24cf694 
sha256  2b7a8c568e923c6dc2562298b99be41f5ae9f50b8049ec5fb2fa4ba203dd5c30 
sha512  200e44ba21770723767b04c968c4ef84263e51af029b300a45bf8e42528061419a29eeaae97d66e3500a0c74c972daeafebf27de9ec87e9e066d691ecddb5f60 
ripemd160  e84f7c56f7e25bb6aac77953b1c99ed67193544f 