9993 (number)
9,993 (nine thousand nine hundred ninetythree) is an odd fourdigits composite number following 9992 and preceding 9994. In scientific notation, it is written as 9.993 × 10^{3}. The sum of its digits is 30. It has a total of 2 prime factors and 4 positive divisors. There are 6,660 positive integers (up to 9993) that are relatively prime to 9993.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 4
 Sum of Digits 30
 Digital Root 3
Name
Short name  9 thousand 993 

Full name  nine thousand nine hundred ninetythree 
Notation
Scientific notation  9.993 × 10^{3} 

Engineering notation  9.993 × 10^{3} 
Prime Factorization of 9993
Prime Factorization 3 × 3331
Composite numberω(n)  Distinct Factors  2  Total number of distinct prime factors 

Ω(n)  Total Factors  2  Total number of prime factors 
rad(n)  Radical  9993  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  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 9,993 is 3 × 3331. Since it has a total of 2 prime factors, 9,993 is a composite number.
Divisors of 9993
4 divisors
τ(n)  Total Divisors  4  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  13328  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  3335  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  3332  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  99.964993872855  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  2.9990996398559  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 9,993 can be divided by 4 positive divisors (out of which 0 are even, and 4 are odd). The sum of these divisors (counting 9,993) is 13,328, the average is 3,332.
Other Arithmetic Functions (n = 9993)
φ(n)  Euler Totient  6660  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  3330  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 1229  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 6,660 positive integers (less than 9,993) that are coprime with 9,993. And there are approximately 1,229 prime numbers less than or equal to 9,993.
Divisibility of 9993
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  3  3  4  1  3 
The number 9,993 is divisible by 3.
Classification of 9993
By Arithmetic functions
 Arithmetic
 Semiprime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Square Free
Other numbers
 LucasCarmichael
Base conversion (9993)
Base  System  Value 

2  Binary  10011100001001 
3  Ternary  111201010 
4  Quaternary  2130021 
5  Quinary  304433 
6  Senary  114133 
8  Octal  23411 
10  Decimal  9993 
12  Duodecimal  5949 
16  Hexadecimal  2709 
20  Vigesimal  14jd 
36  Base36  7pl 
Basic calculations (n = 9993)
Multiplication
n×yn×2  19986 

n×3  29979 
n×4  39972 
n×5  49965 
Division
n÷yn÷2  4996.500 

n÷3  3331.000 
n÷4  2498.250 
n÷5  1998.600 
Exponentiation
n^{y}n^{2}  99860049 

n^{3}  997901469657 
n^{4}  9972029386282401 
n^{5}  99650489657120033193 
Nth Root
^{y}√n^{2}√n  99.964993872855 

^{3}√n  21.539318712616 
^{4}√n  9.9982495404373 
^{5}√n  6.3086898570805 
9993 as geometric shapes
Circle
Radius = nDiameter  19986 

Circumference  62787.870774646 
Area  313719596.32552 
Sphere
Radius = nVolume  4179999901441.2 

Surface area  1254878385.3021 
Circumference  62787.870774646 
Square
Length = nPerimeter  39972 

Area  99860049 
Diagonal  14132.236128794 
Cube
Length = nSurface area  599160294 

Volume  997901469657 
Space diagonal  17308.383720036 
Equilateral Triangle
Length = nPerimeter  29979 

Area  43240669.628579 
Altitude  8654.1918600179 
Triangular Pyramid
Length = nSurface area  172962678.51432 

Volume  117603816025.08 
Height  8159.2503332108 
Cryptographic Hash Functions
md5  8af141d3c5a5146a3eac9d166ab4c458 

sha1  344c060c5a55729d675162166d289e7bbeeb1e33 
sha256  8f7fe557bf81f8ce973f01d29924684e716a2847f9699d59138de16d10eeb873 
sha512  dca4be030934a29c0786962456c3afae9b0843c76d510e557902b56477b5c0321f451d7996eabbdacc75fa30cfee8d02b5d77dc49a76ab72ffb7b2df1ba69116 
ripemd160  c98c37723b7159741ab3a71468a3dfb8aeef3ce4 