5985 (number)
5,985 (five thousand nine hundred eightyfive) is an odd fourdigits composite number following 5984 and preceding 5986. In scientific notation, it is written as 5.985 × 10^{3}. The sum of its digits is 27. It has a total of 5 prime factors and 24 positive divisors. There are 2,592 positive integers (up to 5985) that are relatively prime to 5985.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 4
 Sum of Digits 27
 Digital Root 9
Name
Short name  5 thousand 985 

Full name  five thousand nine hundred eightyfive 
Notation
Scientific notation  5.985 × 10^{3} 

Engineering notation  5.985 × 10^{3} 
Prime Factorization of 5985
Prime Factorization 3^{2} × 5 × 7 × 19
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  1995  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 5,985 is 3^{2} × 5 × 7 × 19. Since it has a total of 5 prime factors, 5,985 is a composite number.
Divisors of 5985
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  12480  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  6495  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  520  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  77.362781749366  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  11.509615384615  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 5,985 can be divided by 24 positive divisors (out of which 0 are even, and 24 are odd). The sum of these divisors (counting 5,985) is 12,480, the average is 520.
Other Arithmetic Functions (n = 5985)
φ(n)  Euler Totient  2592  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  36  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 786  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 2,592 positive integers (less than 5,985) that are coprime with 5,985. And there are approximately 786 prime numbers less than or equal to 5,985.
Divisibility of 5985
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  0  3  0  1  0 
The number 5,985 is divisible by 3, 5, 7 and 9.
Classification of 5985
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
By Shape (2D, noncentered)
 Octagonal
Base conversion (5985)
Base  System  Value 

2  Binary  1011101100001 
3  Ternary  22012200 
4  Quaternary  1131201 
5  Quinary  142420 
6  Senary  43413 
8  Octal  13541 
10  Decimal  5985 
12  Duodecimal  3569 
16  Hexadecimal  1761 
20  Vigesimal  ej5 
36  Base36  4m9 
Basic calculations (n = 5985)
Multiplication
n×yn×2  11970 

n×3  17955 
n×4  23940 
n×5  29925 
Division
n÷yn÷2  2992.500 

n÷3  1995.000 
n÷4  1496.250 
n÷5  1197.000 
Exponentiation
n^{y}n^{2}  35820225 

n^{3}  214384046625 
n^{4}  1283088519050625 
n^{5}  7679284786517990625 
Nth Root
^{y}√n^{2}√n  77.362781749366 

^{3}√n  18.156050620266 
^{4}√n  8.7956115051408 
^{5}√n  5.693939272348 
5985 as geometric shapes
Circle
Radius = nDiameter  11970 

Circumference  37604.86406347 
Area  112532555.70993 
Sphere
Radius = nVolume  898009794565.27 

Surface area  450130222.83973 
Circumference  37604.86406347 
Square
Length = nPerimeter  23940 

Area  35820225 
Diagonal  8464.068170803 
Cube
Length = nSurface area  214921350 

Volume  214384046625 
Space diagonal  10366.3240833 
Equilateral Triangle
Length = nPerimeter  17955 

Area  15510612.409637 
Altitude  5183.1620416499 
Triangular Pyramid
Length = nSurface area  62042449.638549 

Volume  25265402191.125 
Height  4886.7320368524 
Cryptographic Hash Functions
md5  fccc64972a9468a11f125cadb090e89e 

sha1  80c006fbf79f13acf83be593cf470989853bf413 
sha256  27c6c4c5f2c6371982db88e4f2d750c046237a6f41554afae0732a3340890a65 
sha512  08593e2bc903da44fb12a5ab11a4852c4311d0969827ee97cc3c1fa6de6bd988e4df874bed70c4dbeb64bf14fe7de2e8e1c82348e257d177fddbb8793e06bbc5 
ripemd160  c1cb8aeb3c5d6303de5ab82e339bf55cacede648 