93701 (number)
93,701 (ninetythree thousand seven hundred one) is an odd fivedigits prime number following 93700 and preceding 93702. In scientific notation, it is written as 9.3701 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 93,700 positive integers (up to 93701) that are relatively prime to 93701.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  93 thousand 701 

Full name  ninetythree thousand seven hundred one 
Notation
Scientific notation  9.3701 × 10^{4} 

Engineering notation  93.701 × 10^{3} 
Prime Factorization of 93701
Prime Factorization 93701
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  93701  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  11.447864140528  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 93,701 is 93701. Since it has a total of 1 prime factor, 93,701 is a prime number.
Divisors of 93701
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  93702  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  46851  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  306.10619072472  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999786557384  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 93,701 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 93,701) is 93,702, the average is 46,851.
Other Arithmetic Functions (n = 93701)
φ(n)  Euler Totient  93700  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  93700  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9034  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 93,700 positive integers (less than 93,701) that are coprime with 93,701. And there are approximately 9,034 prime numbers less than or equal to 93,701.
Divisibility of 93701
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  6  5  2 
93,701 is not divisible by any number less than or equal to 9.
Classification of 93701
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (93701)
Base  System  Value 

2  Binary  10110111000000101 
3  Ternary  11202112102 
4  Quaternary  112320011 
5  Quinary  10444301 
6  Senary  2001445 
8  Octal  267005 
10  Decimal  93701 
12  Duodecimal  46285 
16  Hexadecimal  16e05 
20  Vigesimal  be51 
36  Base36  20at 
Basic calculations (n = 93701)
Multiplication
n×yn×2  187402 

n×3  281103 
n×4  374804 
n×5  468505 
Division
n÷yn÷2  46850.500 

n÷3  31233.666 
n÷4  23425.250 
n÷5  18740.200 
Exponentiation
n^{y}n^{2}  8779877401 

n^{3}  822683292351101 
n^{4}  77086247176590514801 
n^{5}  7223058446693707827368501 
Nth Root
^{y}√n^{2}√n  306.10619072472 

^{3}√n  45.420098871816 
^{4}√n  17.495890681092 
^{5}√n  9.8707202861776 
93701 as geometric shapes
Circle
Radius = nDiameter  187402 

Circumference  588740.74646803 
Area  27582798342.401 
Sphere
Radius = nVolume  3.4460477166417E+15 

Surface area  110331193369.6 
Circumference  588740.74646803 
Square
Length = nPerimeter  374804 

Area  8779877401 
Diagonal  132513.22500792 
Cube
Length = nSurface area  52679264406 

Volume  822683292351101 
Space diagonal  162294.89272001 
Equilateral Triangle
Length = nPerimeter  281103 

Area  3801798435.6894 
Altitude  81147.446360006 
Triangular Pyramid
Length = nSurface area  15207193742.758 

Volume  96954155798390 
Height  76506.546129509 
Cryptographic Hash Functions
md5  3a1ac7ff319aa7e2309f2f9263a8ac3b 

sha1  f669018b14d20936213825eebd50ad441d4c4d7c 
sha256  c315c3a76bdf0004ded70faca7298265957b376f125cf67856448421774ba0fd 
sha512  bf948bd9a2fe5fbb8720199f797aa59508149409498a0fe276b82712e6eda963d9131c887a01b3d1c26ac74d1c8d86d01bde1672a12e8d1548ee66fde792fba3 
ripemd160  deabd5c00a311cc2d7517fbb251b5de60c90dc57 