4221 (number)
4,221 (four thousand two hundred twentyone) is an odd fourdigits composite number following 4220 and preceding 4222. In scientific notation, it is written as 4.221 × 10^{3}. The sum of its digits is 9. It has a total of 4 prime factors and 12 positive divisors. There are 2,376 positive integers (up to 4221) that are relatively prime to 4221.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 4
 Sum of Digits 9
 Digital Root 9
Name
Short name  4 thousand 221 

Full name  four thousand two hundred twentyone 
Notation
Scientific notation  4.221 × 10^{3} 

Engineering notation  4.221 × 10^{3} 
Prime Factorization of 4221
Prime Factorization 3^{2} × 7 × 67
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  4  Total number of prime factors 
rad(n)  Radical  1407  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 4,221 is 3^{2} × 7 × 67. Since it has a total of 4 prime factors, 4,221 is a composite number.
Divisors of 4221
12 divisors
τ(n)  Total Divisors  12  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  7072  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  2851  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  589.333  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  64.969223483123  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  7.1623303167461  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 4,221 can be divided by 12 positive divisors (out of which 0 are even, and 12 are odd). The sum of these divisors (counting 4,221) is 7,072, the average is 5,89.,333.
Other Arithmetic Functions (n = 4221)
φ(n)  Euler Totient  2376  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  66  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 581  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 2,376 positive integers (less than 4,221) that are coprime with 4,221. And there are approximately 581 prime numbers less than or equal to 4,221.
Divisibility of 4221
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  1  3  0  5  0 
The number 4,221 is divisible by 3, 7 and 9.
Classification of 4221
By Arithmetic functions
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
Base conversion (4221)
Base  System  Value 

2  Binary  1000001111101 
3  Ternary  12210100 
4  Quaternary  1001331 
5  Quinary  113341 
6  Senary  31313 
8  Octal  10175 
10  Decimal  4221 
12  Duodecimal  2539 
16  Hexadecimal  107d 
20  Vigesimal  ab1 
36  Base36  399 
Basic calculations (n = 4221)
Multiplication
n×yn×2  8442 

n×3  12663 
n×4  16884 
n×5  21105 
Division
n÷yn÷2  2110.500 

n÷3  1407.000 
n÷4  1055.250 
n÷5  844.200 
Exponentiation
n^{y}n^{2}  17816841 

n^{3}  75204885861 
n^{4}  317439823219281 
n^{5}  1339913493808585101 
Nth Root
^{y}√n^{2}√n  64.969223483123 

^{3}√n  16.161132244296 
^{4}√n  8.0603488437612 
^{5}√n  5.3098599978687 
4221 as geometric shapes
Circle
Radius = nDiameter  8442 

Circumference  26521.325181605 
Area  55973256.795777 
Sphere
Radius = nVolume  315017489246.64 

Surface area  223893027.18311 
Circumference  26521.325181605 
Square
Length = nPerimeter  16884 

Area  17816841 
Diagonal  5969.3954467768 
Cube
Length = nSurface area  106901046 

Volume  75204885861 
Space diagonal  7310.9864587482 
Equilateral Triangle
Length = nPerimeter  12663 

Area  7714918.4605941 
Altitude  3655.4932293741 
Triangular Pyramid
Length = nSurface area  30859673.842376 

Volume  8862980795.1122 
Height  3446.4320680959 
Cryptographic Hash Functions
md5  74d90aafda34e6060f9e8433962d14fd 

sha1  e3be37d663e1af2d8656bd7f81c4212f498ce6ea 
sha256  ef98552e86cf708b5dd4818acf9c9c6537c65fd2ee957bdd5ab7b2d0b165eb32 
sha512  fdde751c5513856bc09cfb1cf0cf63eee35b1e91e6249650aa12d4260f4fc3b3ed167a63279f8b226357132153b6a78613317ea9315a49481a45420adb5b0ae9 
ripemd160  ad46f8fd5374c6ca9251f0bce7bf94942f5656dc 