98317 (number)
98,317 (ninetyeight thousand three hundred seventeen) is an odd fivedigits prime number following 98316 and preceding 98318. In scientific notation, it is written as 9.8317 × 10^{4}. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. There are 98,316 positive integers (up to 98317) that are relatively prime to 98317.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 28
 Digital Root 1
Name
Short name  98 thousand 317 

Full name  ninetyeight thousand three hundred seventeen 
Notation
Scientific notation  9.8317 × 10^{4} 

Engineering notation  98.317 × 10^{3} 
Prime Factorization of 98317
Prime Factorization 98317
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  98317  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  11.495952231163  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 98,317 is 98317. Since it has a total of 1 prime factor, 98,317 is a prime number.
Divisors of 98317
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  98318  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  49159  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  313.5554177494  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999979657845  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 98,317 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 98,317) is 98,318, the average is 49,159.
Other Arithmetic Functions (n = 98317)
φ(n)  Euler Totient  98316  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  98316  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9436  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 98,316 positive integers (less than 98,317) that are coprime with 98,317. And there are approximately 9,436 prime numbers less than or equal to 98,317.
Divisibility of 98317
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  2  1  2  5  1 
98,317 is not divisible by any number less than or equal to 9.
Classification of 98317
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (98317)
Base  System  Value 

2  Binary  11000000000001101 
3  Ternary  11222212101 
4  Quaternary  120000031 
5  Quinary  11121232 
6  Senary  2035101 
8  Octal  300015 
10  Decimal  98317 
12  Duodecimal  48a91 
16  Hexadecimal  1800d 
20  Vigesimal  c5fh 
36  Base36  23v1 
Basic calculations (n = 98317)
Multiplication
n×yn×2  196634 

n×3  294951 
n×4  393268 
n×5  491585 
Division
n÷yn÷2  49158.500 

n÷3  32772.333 
n÷4  24579.250 
n÷5  19663.400 
Exponentiation
n^{y}n^{2}  9666232489 

n^{3}  950354979621013 
n^{4}  93436050531399135121 
n^{5}  9186352180095568767691357 
Nth Root
^{y}√n^{2}√n  313.5554177494 

^{3}√n  46.154020583386 
^{4}√n  17.70749608921 
^{5}√n  9.9661110853753 
98317 as geometric shapes
Circle
Radius = nDiameter  196634 

Circumference  617743.92984598 
Area  30367364975.333 
Sphere
Radius = nVolume  3.9808376297065E+15 

Surface area  121469459901.33 
Circumference  617743.92984598 
Square
Length = nPerimeter  393268 

Area  9666232489 
Diagonal  139041.23481184 
Cube
Length = nSurface area  57997394934 

Volume  950354979621013 
Space diagonal  170290.03924775 
Equilateral Triangle
Length = nPerimeter  294951 

Area  4185601447.1802 
Altitude  85145.019623875 
Triangular Pyramid
Length = nSurface area  16742405788.721 

Volume  1.120004084374E+14 
Height  80275.494347071 
Cryptographic Hash Functions
md5  cf4c1642ffd07ee0f0574c6a65a16d34 

sha1  65d6f10019886758b2b833ac780fac0683afe81f 
sha256  9c35095783ec442c32cc74cb79b04bc678ea7f770b072ccc63b942a8b65c11c4 
sha512  a76fa9374545c1a9ff668ffce294d23482b155eed2a5be937723e314274e526a829164a635da5ca7b42069f2270a9012ec43abd72ad7b9e0c8b8b93f7761899f 
ripemd160  9f1fec1bf3827db34ae58c7ef8d431d6efea9232 