42397 (number)
42,397 (fortytwo thousand three hundred ninetyseven) is an odd fivedigits prime number following 42396 and preceding 42398. In scientific notation, it is written as 4.2397 × 10^{4}. The sum of its digits is 25. It has a total of 1 prime factor and 2 positive divisors. There are 42,396 positive integers (up to 42397) that are relatively prime to 42397.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 25
 Digital Root 7
Name
Short name  42 thousand 397 

Full name  fortytwo thousand three hundred ninetyseven 
Notation
Scientific notation  4.2397 × 10^{4} 

Engineering notation  42.397 × 10^{3} 
Prime Factorization of 42397
Prime Factorization 42397
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  42397  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  10.654832884  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 42,397 is 42397. Since it has a total of 1 prime factor, 42,397 is a prime number.
Divisors of 42397
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  42398  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  21199  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  205.90531804691  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999528279636  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 42,397 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 42,397) is 42,398, the average is 21,199.
Other Arithmetic Functions (n = 42397)
φ(n)  Euler Totient  42396  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  42396  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4425  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 42,396 positive integers (less than 42,397) that are coprime with 42,397. And there are approximately 4,425 prime numbers less than or equal to 42,397.
Divisibility of 42397
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  2  1  5  5  7 
42,397 is not divisible by any number less than or equal to 9.
Classification of 42397
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (42397)
Base  System  Value 

2  Binary  1010010110011101 
3  Ternary  2011011021 
4  Quaternary  22112131 
5  Quinary  2324042 
6  Senary  524141 
8  Octal  122635 
10  Decimal  42397 
12  Duodecimal  20651 
16  Hexadecimal  a59d 
20  Vigesimal  55jh 
36  Base36  wpp 
Basic calculations (n = 42397)
Multiplication
n×yn×2  84794 

n×3  127191 
n×4  169588 
n×5  211985 
Division
n÷yn÷2  21198.500 

n÷3  14132.333 
n÷4  10599.250 
n÷5  8479.400 
Exponentiation
n^{y}n^{2}  1797505609 

n^{3}  76208845304773 
n^{4}  3231026414386460881 
n^{5}  136985826890742781971757 
Nth Root
^{y}√n^{2}√n  205.90531804691 

^{3}√n  34.869445593924 
^{4}√n  14.349401313188 
^{5}√n  8.4230043586235 
42397 as geometric shapes
Circle
Radius = nDiameter  84794 

Circumference  266388.20746849 
Area  5647030416.0208 
Sphere
Radius = nVolume  3.1922286473071E+14 

Surface area  22588121664.083 
Circumference  266388.20746849 
Square
Length = nPerimeter  169588 

Area  1797505609 
Diagonal  59958.412403932 
Cube
Length = nSurface area  10785033654 

Volume  76208845304773 
Space diagonal  73433.758088498 
Equilateral Triangle
Length = nPerimeter  127191 

Area  778342760.41951 
Altitude  36716.879044249 
Triangular Pyramid
Length = nSurface area  3113371041.678 

Volume  8981298550233.6 
Height  34617.005541593 
Cryptographic Hash Functions
md5  e2af985bca54c63adac6fe130dde21cb 

sha1  86d0cb23c571fc861ab6324d48138141583c4e30 
sha256  7e19c7977de718ac905c732a7e92420286dbe96ccb2e29401228fba53b611d0c 
sha512  c9d7fdb74b4bcbbff7160646b10ce1e9f4c207469d46327bd7724e4f41dc24d00c3d66f6bc6c8c04d4b0a638b7b2bd20cf0b8faafa842b33515d7311815269f1 
ripemd160  6b36bf57d0260c3a86c9abd8c1ef9ddc99e7f0ad 