53777 (number)
53,777 (fiftythree thousand seven hundred seventyseven) is an odd fivedigits prime number following 53776 and preceding 53778. In scientific notation, it is written as 5.3777 × 10^{4}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 53,776 positive integers (up to 53777) that are relatively prime to 53777.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 29
 Digital Root 2
Name
Short name  53 thousand 777 

Full name  fiftythree thousand seven hundred seventyseven 
Notation
Scientific notation  5.3777 × 10^{4} 

Engineering notation  53.777 × 10^{3} 
Prime Factorization of 53777
Prime Factorization 53777
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  53777  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  10.892601145448  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 53,777 is 53777. Since it has a total of 1 prime factor, 53,777 is a prime number.
Divisors of 53777
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  53778  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  26889  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  231.89868477419  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999962810071  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,777 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 53,777) is 53,778, the average is 26,889.
Other Arithmetic Functions (n = 53777)
φ(n)  Euler Totient  53776  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  53776  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5477  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 53,776 positive integers (less than 53,777) that are coprime with 53,777. And there are approximately 5,477 prime numbers less than or equal to 53,777.
Divisibility of 53777
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  2  5  3  1  2 
53,777 is not divisible by any number less than or equal to 9.
Classification of 53777
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (53777)
Base  System  Value 

2  Binary  1101001000010001 
3  Ternary  2201202202 
4  Quaternary  31020101 
5  Quinary  3210102 
6  Senary  1052545 
8  Octal  151021 
10  Decimal  53777 
12  Duodecimal  27155 
16  Hexadecimal  d211 
20  Vigesimal  6e8h 
36  Base36  15ht 
Basic calculations (n = 53777)
Multiplication
n×yn×2  107554 

n×3  161331 
n×4  215108 
n×5  268885 
Division
n÷yn÷2  26888.500 

n÷3  17925.666 
n÷4  13444.250 
n÷5  10755.400 
Exponentiation
n^{y}n^{2}  2891965729 

n^{3}  155521241008433 
n^{4}  8363465777710501441 
n^{5}  449762099127937635992657 
Nth Root
^{y}√n^{2}√n  231.89868477419 

^{3}√n  37.745529637445 
^{4}√n  15.228220013324 
^{5}√n  8.8332254327546 
53777 as geometric shapes
Circle
Radius = nDiameter  107554 

Circumference  337890.8562642 
Area  9085378288.6599 
Sphere
Radius = nVolume  6.5144585097235E+14 

Surface area  36341513154.639 
Circumference  337890.8562642 
Square
Length = nPerimeter  215108 

Area  2891965729 
Diagonal  76052.162743738 
Cube
Length = nSurface area  17351794374 

Volume  155521241008433 
Space diagonal  93144.496278632 
Equilateral Triangle
Length = nPerimeter  161331 

Area  1252257894.094 
Altitude  46572.248139316 
Triangular Pyramid
Length = nSurface area  5009031576.376 

Volume  18328354022602 
Height  43908.73663255 
Cryptographic Hash Functions
md5  69f05392fc2e30ff3eee0b930c42cc3e 

sha1  6a9ed5a1bb514077c7992be6882faffefeac11bb 
sha256  a8f5c143473392c9f7626322f08791cf16a39433bbe0377b0e2ca101813599d6 
sha512  ac82a502a2861b79b9f60d05fe502b18270bf9b0c69ab16c8d636cff9e7383c6a96c80e3dbcbecabccc6b5ef30fba57996de5f4020cef47b99159860b971732e 
ripemd160  52e18616febbbeb07046e9b9586fdb77b33bb7e8 