37125 (number)
37,125 (thirtyseven thousand one hundred twentyfive) is an odd fivedigits composite number following 37124 and preceding 37126. In scientific notation, it is written as 3.7125 × 10^{4}. The sum of its digits is 18. It has a total of 7 prime factors and 32 positive divisors. There are 18,000 positive integers (up to 37125) that are relatively prime to 37125.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  37 thousand 125 

Full name  thirtyseven thousand one hundred twentyfive 
Notation
Scientific notation  3.7125 × 10^{4} 

Engineering notation  37.125 × 10^{3} 
Prime Factorization of 37125
Prime Factorization 3^{3} × 5^{3} × 11
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  165  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  0  Returns:

Λ(n)  Mangoldt function  0  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 37,125 is 3^{3} × 5^{3} × 11. Since it has a total of 7 prime factors, 37,125 is a composite number.
Divisors of 37125
32 divisors
τ(n)  Total Divisors  32  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  74880  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  37755  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2340  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  192.67848867998  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  15.865384615385  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 37,125 can be divided by 32 positive divisors (out of which 0 are even, and 32 are odd). The sum of these divisors (counting 37,125) is 74,880, the average is 2,340.
Other Arithmetic Functions (n = 37125)
φ(n)  Euler Totient  18000  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  900  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3930  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 18,000 positive integers (less than 37,125) that are coprime with 37,125. And there are approximately 3,930 prime numbers less than or equal to 37,125.
Divisibility of 37125
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  0  3  4  5  0 
The number 37,125 is divisible by 3, 5 and 9.
Classification of 37125
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
Other numbers
 Frugal
Base conversion (37125)
Base  System  Value 

2  Binary  1001000100000101 
3  Ternary  1212221000 
4  Quaternary  21010011 
5  Quinary  2142000 
6  Senary  443513 
8  Octal  110405 
10  Decimal  37125 
12  Duodecimal  19599 
16  Hexadecimal  9105 
20  Vigesimal  4cg5 
36  Base36  sn9 
Basic calculations (n = 37125)
Multiplication
n×yn×2  74250 

n×3  111375 
n×4  148500 
n×5  185625 
Division
n÷yn÷2  18562.500 

n÷3  12375.000 
n÷4  9281.250 
n÷5  7425.000 
Exponentiation
n^{y}n^{2}  1378265625 

n^{3}  51168111328125 
n^{4}  1899616133056640625 
n^{5}  70523248939727783203125 
Nth Root
^{y}√n^{2}√n  192.67848867998 

^{3}√n  33.35970135854 
^{4}√n  13.880867720715 
^{5}√n  8.2022554819347 
37125 as geometric shapes
Circle
Radius = nDiameter  74250 

Circumference  233263.25452904 
Area  4329949162.1953 
Sphere
Radius = nVolume  2.1433248352867E+14 

Surface area  17319796648.781 
Circumference  233263.25452904 
Square
Length = nPerimeter  148500 

Area  1378265625 
Diagonal  52502.678503101 
Cube
Length = nSurface area  8269593750 

Volume  51168111328125 
Space diagonal  64302.386230995 
Equilateral Triangle
Length = nPerimeter  111375 

Area  596806522.20642 
Altitude  32151.193115497 
Triangular Pyramid
Length = nSurface area  2387226088.8257 

Volume  6030219750104.2 
Height  30312.435566942 
Cryptographic Hash Functions
md5  aa0952d4ab66756202e6a7dcd7616bda 

sha1  a886cf24dbbd4e48663396b10fa4d00c94c8e857 
sha256  db0cf36e1b5229a3b881dded6023d9d62160ce63c6fca2475e5397cb6a1eff0c 
sha512  7a41b92f67e8fb7fe9f03a9a08740b9ea4319a5975dc92532e609dc2b7d315b3905d0f58453919a2f064e1a209da99cd673f58123125b0f880e01b28affb96bf 
ripemd160  d69f123f1802a57cbc86c17834f44ce7cc97b05f 