8223 (number)
8,223 (eight thousand two hundred twentythree) is an odd fourdigits composite number following 8222 and preceding 8224. In scientific notation, it is written as 8.223 × 10^{3}. The sum of its digits is 15. It has a total of 2 prime factors and 4 positive divisors. There are 5,480 positive integers (up to 8223) that are relatively prime to 8223.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 4
 Sum of Digits 15
 Digital Root 6
Name
Short name  8 thousand 223 

Full name  eight thousand two hundred twentythree 
Notation
Scientific notation  8.223 × 10^{3} 

Engineering notation  8.223 × 10^{3} 
Prime Factorization of 8223
Prime Factorization 3 × 2741
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  8223  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 8,223 is 3 × 2741. Since it has a total of 2 prime factors, 8,223 is a composite number.
Divisors of 8223
4 divisors
τ(n)  Total Divisors  4  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  10968  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  2745  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2742  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  90.68075870878  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  2.9989059080963  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 8,223 can be divided by 4 positive divisors (out of which 0 are even, and 4 are odd). The sum of these divisors (counting 8,223) is 10,968, the average is 2,742.
Other Arithmetic Functions (n = 8223)
φ(n)  Euler Totient  5480  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  2740  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 1037  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 5,480 positive integers (less than 8,223) that are coprime with 8,223. And there are approximately 1,037 prime numbers less than or equal to 8,223.
Divisibility of 8223
m  2  3  4  5  6  7  8  9 

n mod m  1  0  3  3  3  5  7  6 
The number 8,223 is divisible by 3.
Classification of 8223
By Arithmetic functions
 Arithmetic
 Semiprime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Square Free
Other numbers
 LucasCarmichael
Base conversion (8223)
Base  System  Value 

2  Binary  10000000011111 
3  Ternary  102021120 
4  Quaternary  2000133 
5  Quinary  230343 
6  Senary  102023 
8  Octal  20037 
10  Decimal  8223 
12  Duodecimal  4913 
16  Hexadecimal  201f 
20  Vigesimal  10b3 
36  Base36  6cf 
Basic calculations (n = 8223)
Multiplication
n×yn×2  16446 

n×3  24669 
n×4  32892 
n×5  41115 
Division
n÷yn÷2  4111.500 

n÷3  2741.000 
n÷4  2055.750 
n÷5  1644.600 
Exponentiation
n^{y}n^{2}  67617729 

n^{3}  556020585567 
n^{4}  4572157275117441 
n^{5}  37596849273290717343 
Nth Root
^{y}√n^{2}√n  90.68075870878 

^{3}√n  20.18413288486 
^{4}√n  9.5226445228613 
^{5}√n  6.0674479312171 
8223 as geometric shapes
Circle
Radius = nDiameter  16446 

Circumference  51666.632780938 
Area  212427360.67883 
Sphere
Radius = nVolume  2329053582482.6 

Surface area  849709442.7153 
Circumference  51666.632780938 
Square
Length = nPerimeter  32892 

Area  67617729 
Diagonal  11629.078123394 
Cube
Length = nSurface area  405706374 

Volume  556020585567 
Space diagonal  14242.653790639 
Equilateral Triangle
Length = nPerimeter  24669 

Area  29279335.530106 
Altitude  7121.3268953194 
Triangular Pyramid
Length = nSurface area  117117342.12042 

Volume  65527654422.29 
Height  6714.0513849687 
Cryptographic Hash Functions
md5  3e91970f771a2c473ae36b60d1146068 

sha1  5abf5b53c561c1d8ffb28c08fa318dbf1ed10982 
sha256  1076c5957d3ea9ffad332d1a3785b90bc658dab676c9ba822c8fe55a3e6c23b4 
sha512  2ab18c81d311a8b7e0ae5a1e38e418fb1fa6873bb78c4a166818a049288b58d28cfb6892ae3601ac04d6740bd5c61fa976289cb19d0a21507c7193caa75b78e0 
ripemd160  342f8aec902d45fba19ddb800eb7450ac708f28e 