37957 (number)
37,957 (thirtyseven thousand nine hundred fiftyseven) is an odd fivedigits prime number following 37956 and preceding 37958. In scientific notation, it is written as 3.7957 × 10^{4}. The sum of its digits is 31. It has a total of 1 prime factor and 2 positive divisors. There are 37,956 positive integers (up to 37957) that are relatively prime to 37957.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 31
 Digital Root 4
Name
Short name  37 thousand 957 

Full name  thirtyseven thousand nine hundred fiftyseven 
Notation
Scientific notation  3.7957 × 10^{4} 

Engineering notation  37.957 × 10^{3} 
Prime Factorization of 37957
Prime Factorization 37957
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  37957  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  10.544209219042  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 37,957 is 37957. Since it has a total of 1 prime factor, 37,957 is a prime number.
Divisors of 37957
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  37958  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  18979  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  194.82556300445  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999473101849  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 37,957 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 37,957) is 37,958, the average is 18,979.
Other Arithmetic Functions (n = 37957)
φ(n)  Euler Totient  37956  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  37956  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4008  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 37,956 positive integers (less than 37,957) that are coprime with 37,957. And there are approximately 4,008 prime numbers less than or equal to 37,957.
Divisibility of 37957
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  2  1  3  5  4 
37,957 is not divisible by any number less than or equal to 9.
Classification of 37957
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (37957)
Base  System  Value 

2  Binary  1001010001000101 
3  Ternary  1221001211 
4  Quaternary  21101011 
5  Quinary  2203312 
6  Senary  451421 
8  Octal  112105 
10  Decimal  37957 
12  Duodecimal  19b71 
16  Hexadecimal  9445 
20  Vigesimal  4ehh 
36  Base36  tad 
Basic calculations (n = 37957)
Multiplication
n×yn×2  75914 

n×3  113871 
n×4  151828 
n×5  189785 
Division
n÷yn÷2  18978.500 

n÷3  12652.333 
n÷4  9489.250 
n÷5  7591.400 
Exponentiation
n^{y}n^{2}  1440733849 

n^{3}  54685934706493 
n^{4}  2075714023654354801 
n^{5}  78787877195848345181557 
Nth Root
^{y}√n^{2}√n  194.82556300445 

^{3}√n  33.607068146439 
^{4}√n  13.957992799986 
^{5}√n  8.2386940625679 
37957 as geometric shapes
Circle
Radius = nDiameter  75914 

Circumference  238490.86470462 
Area  4526198875.7965 
Sphere
Radius = nVolume  2.2906790763815E+14 

Surface area  18104795503.186 
Circumference  238490.86470462 
Square
Length = nPerimeter  151828 

Area  1440733849 
Diagonal  53679.304186996 
Cube
Length = nSurface area  8644403094 

Volume  54685934706493 
Space diagonal  65743.452502892 
Equilateral Triangle
Length = nPerimeter  113871 

Area  623856056.66307 
Altitude  32871.726251446 
Triangular Pyramid
Length = nSurface area  2495424226.6523 

Volume  6444799211081 
Height  30991.760722274 
Cryptographic Hash Functions
md5  4333c597da355d04f6b313a15d146331 

sha1  7622a1d353945a66689244cdba42b3d208186ef1 
sha256  c11da76be4d87c2a33df149abc6e7720d3b4fceb78d8b7f92b07fe56eade1a10 
sha512  4fc502dde84f8dac5c10694ff3b1d14c692c43d7ff87492d99317ade87440dcd27fbe4f866db171019f465da8767e6b5dac68e83177467ecb7d04a38e890f51b 
ripemd160  61808c9f025190341259624b1e3b0165795f70b1 