53985 (number)
53,985 (fiftythree thousand nine hundred eightyfive) is an odd fivedigits composite number following 53984 and preceding 53986. In scientific notation, it is written as 5.3985 × 10^{4}. The sum of its digits is 30. It has a total of 4 prime factors and 16 positive divisors. There are 27,840 positive integers (up to 53985) that are relatively prime to 53985.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 5
 Sum of Digits 30
 Digital Root 3
Name
Short name  53 thousand 985 

Full name  fiftythree thousand nine hundred eightyfive 
Notation
Scientific notation  5.3985 × 10^{4} 

Engineering notation  53.985 × 10^{3} 
Prime Factorization of 53985
Prime Factorization 3 × 5 × 59 × 61
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  4  Total number of prime factors 
rad(n)  Radical  53985  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 53,985 is 3 × 5 × 59 × 61. Since it has a total of 4 prime factors, 53,985 is a composite number.
Divisors of 53985
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  89280  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  35295  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  5580  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  232.34672366961  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.6747311827957  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,985 can be divided by 16 positive divisors (out of which 0 are even, and 16 are odd). The sum of these divisors (counting 53,985) is 89,280, the average is 5,580.
Other Arithmetic Functions (n = 53985)
φ(n)  Euler Totient  27840  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  1740  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5496  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 27,840 positive integers (less than 53,985) that are coprime with 53,985. And there are approximately 5,496 prime numbers less than or equal to 53,985.
Divisibility of 53985
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  0  3  1  1  3 
The number 53,985 is divisible by 3 and 5.
Classification of 53985
By Arithmetic functions
 Arithmetic
 Deficient
Expressible via specific sums
 Polite
By Powers
 Square Free
Other numbers
 LucasCarmichael
Base conversion (53985)
Base  System  Value 

2  Binary  1101001011100001 
3  Ternary  2202001110 
4  Quaternary  31023201 
5  Quinary  3211420 
6  Senary  1053533 
8  Octal  151341 
10  Decimal  53985 
12  Duodecimal  272a9 
16  Hexadecimal  d2e1 
20  Vigesimal  6ej5 
36  Base36  15nl 
Basic calculations (n = 53985)
Multiplication
n×yn×2  107970 

n×3  161955 
n×4  215940 
n×5  269925 
Division
n÷yn÷2  26992.500 

n÷3  17995.000 
n÷4  13496.250 
n÷5  10797.000 
Exponentiation
n^{y}n^{2}  2914380225 

n^{3}  157332816446625 
n^{4}  8493612095871050625 
n^{5}  458527648995598667990625 
Nth Root
^{y}√n^{2}√n  232.34672366961 

^{3}√n  37.794131392048 
^{4}√n  15.242923724457 
^{5}√n  8.8400479587805 
53985 as geometric shapes
Circle
Radius = nDiameter  107970 

Circumference  339197.75880809 
Area  9155795504.6274 
Sphere
Radius = nVolume  6.5903416042308E+14 

Surface area  36623182018.509 
Circumference  339197.75880809 
Square
Length = nPerimeter  215940 

Area  2914380225 
Diagonal  76346.319164712 
Cube
Length = nSurface area  17486281350 

Volume  157332816446625 
Space diagonal  93504.762846606 
Equilateral Triangle
Length = nPerimeter  161955 

Area  1261963655.5685 
Altitude  46752.381423303 
Triangular Pyramid
Length = nSurface area  5047854622.274 

Volume  18541850235431 
Height  44078.567921383 
Cryptographic Hash Functions
md5  fa702e35319d3f9b53342314a075f1cf 

sha1  ce7b4a0c5d2415eadc78f4bcd2ee7a2f4460a362 
sha256  b934178fdea97aff26f88cf2203665a882c612e9b1513e718f06878bcac62e4b 
sha512  9be61e28494797c6a8766dbe481ebb38e705408ce2cf11d94b6e8b92f681c8c2775ef0b6a84beae553cd7c0f05a56328c2cf5c9c041d639ac927d48561b5ca89 
ripemd160  873a6a6f28ae1ee9172473378253d9adeebfe379 