3984 (number)
3,984 (three thousand nine hundred eightyfour) is an even fourdigits composite number following 3983 and preceding 3985. In scientific notation, it is written as 3.984 × 10^{3}. The sum of its digits is 24. It has a total of 6 prime factors and 20 positive divisors. There are 1,312 positive integers (up to 3984) that are relatively prime to 3984.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 24
 Digital Root 6
Name
Short name  3 thousand 984 

Full name  three thousand nine hundred eightyfour 
Notation
Scientific notation  3.984 × 10^{3} 

Engineering notation  3.984 × 10^{3} 
Prime Factorization of 3984
Prime Factorization 2^{4} × 3 × 83
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  498  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 3,984 is 2^{4} × 3 × 83. Since it has a total of 6 prime factors, 3,984 is a composite number.
Divisors of 3984
20 divisors
τ(n)  Total Divisors  20  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  10416  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  6432  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  520.8  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  63.118935352238  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  7.6497695852535  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 3,984 can be divided by 20 positive divisors (out of which 16 are even, and 4 are odd). The sum of these divisors (counting 3,984) is 10,416, the average is 52,0.8.
Other Arithmetic Functions (n = 3984)
φ(n)  Euler Totient  1312  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  328  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 553  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 1,312 positive integers (less than 3,984) that are coprime with 3,984. And there are approximately 553 prime numbers less than or equal to 3,984.
Divisibility of 3984
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  4  0  1  0  6 
The number 3,984 is divisible by 2, 3, 4, 6 and 8.
Classification of 3984
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Base conversion (3984)
Base  System  Value 

2  Binary  111110010000 
3  Ternary  12110120 
4  Quaternary  332100 
5  Quinary  111414 
6  Senary  30240 
8  Octal  7620 
10  Decimal  3984 
12  Duodecimal  2380 
16  Hexadecimal  f90 
20  Vigesimal  9j4 
36  Base36  32o 
Basic calculations (n = 3984)
Multiplication
n×yn×2  7968 

n×3  11952 
n×4  15936 
n×5  19920 
Division
n÷yn÷2  1992.000 

n÷3  1328.000 
n÷4  996.000 
n÷5  796.800 
Exponentiation
n^{y}n^{2}  15872256 

n^{3}  63235067904 
n^{4}  251928510529536 
n^{5}  1003683185949671424 
Nth Root
^{y}√n^{2}√n  63.118935352238 

^{3}√n  15.852816888979 
^{4}√n  7.9447426234107 
^{5}√n  5.2488464242266 
3984 as geometric shapes
Circle
Radius = nDiameter  7968 

Circumference  25032.210263803 
Area  49864162.845497 
Sphere
Radius = nVolume  264878433035.28 

Surface area  199456651.38199 
Circumference  25032.210263803 
Square
Length = nPerimeter  15936 

Area  15872256 
Diagonal  5634.2268324944 
Cube
Length = nSurface area  95233536 

Volume  63235067904 
Space diagonal  6900.4904173544 
Equilateral Triangle
Length = nPerimeter  11952 

Area  6872888.455685 
Altitude  3450.2452086772 
Triangular Pyramid
Length = nSurface area  27491553.82274 

Volume  7452324220.6184 
Height  3252.9223784161 
Cryptographic Hash Functions
md5  7059b7dea43da04fd342088d7c1698f0 

sha1  e7df733cbacaabbd29e7806c1bbdb30ea8164b63 
sha256  d7d0742c3e1330208497fd4a7bbf4280e6c756beb903d411d92b5c09013ce5c3 
sha512  73b2101f4203066197f4136d9b5dfd4f796a5c3e351285b95135aa511795b57086b74d57f986dfc352e338859c129b6789527db7acad9f91de9ae4bf6ffd3093 
ripemd160  b8acb114f07e05319a46bd682e2177d19a4f1235 