98453 (number)
98,453 (ninetyeight thousand four hundred fiftythree) is an odd fivedigits prime number following 98452 and preceding 98454. In scientific notation, it is written as 9.8453 × 10^{4}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 98,452 positive integers (up to 98453) that are relatively prime to 98453.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 29
 Digital Root 2
Name
Short name  98 thousand 453 

Full name  ninetyeight thousand four hundred fiftythree 
Notation
Scientific notation  9.8453 × 10^{4} 

Engineering notation  98.453 × 10^{3} 
Prime Factorization of 98453
Prime Factorization 98453
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  98453  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  11.497334555924  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 98,453 is 98453. Since it has a total of 1 prime factor, 98,453 is a prime number.
Divisors of 98453
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  98454  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  49227  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  313.77221036924  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999796859447  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 98,453 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 98,453) is 98,454, the average is 49,227.
Other Arithmetic Functions (n = 98453)
φ(n)  Euler Totient  98452  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  98452  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9448  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 98,452 positive integers (less than 98,453) that are coprime with 98,453. And there are approximately 9,448 prime numbers less than or equal to 98,453.
Divisibility of 98453
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  5  5  2 
98,453 is not divisible by any number less than or equal to 9.
Classification of 98453
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (98453)
Base  System  Value 

2  Binary  11000000010010101 
3  Ternary  12000001102 
4  Quaternary  120002111 
5  Quinary  11122303 
6  Senary  2035445 
8  Octal  300225 
10  Decimal  98453 
12  Duodecimal  48b85 
16  Hexadecimal  18095 
20  Vigesimal  c62d 
36  Base36  23yt 
Basic calculations (n = 98453)
Multiplication
n×yn×2  196906 

n×3  295359 
n×4  393812 
n×5  492265 
Division
n÷yn÷2  49226.500 

n÷3  32817.666 
n÷4  24613.250 
n÷5  19690.600 
Exponentiation
n^{y}n^{2}  9692993209 

n^{3}  954304260405677 
n^{4}  93954117349720117681 
n^{5}  9250064715431994746047493 
Nth Root
^{y}√n^{2}√n  313.77221036924 

^{3}√n  46.175292098865 
^{4}√n  17.71361652428 
^{5}√n  9.9688667467054 
98453 as geometric shapes
Circle
Radius = nDiameter  196906 

Circumference  618598.44304775 
Area  30451436256.69 
Sphere
Radius = nVolume  3.9973803383732E+15 

Surface area  121805745026.76 
Circumference  618598.44304775 
Square
Length = nPerimeter  393812 

Area  9692993209 
Diagonal  139233.56785632 
Cube
Length = nSurface area  58157959254 

Volume  954304260405677 
Space diagonal  170525.59815758 
Equilateral Triangle
Length = nPerimeter  295359 

Area  4197189178.852 
Altitude  85262.799078789 
Triangular Pyramid
Length = nSurface area  16788756715.408 

Volume  1.1246583564134E+14 
Height  80386.537882077 
Cryptographic Hash Functions
md5  1f48932d2cf45778dc4ecc056916178a 

sha1  28ca69a541a7991ff71e405abc5db83a1c938639 
sha256  b601ba998fce083d1636d6ec41ff144382f81628a5930d236ada7474c9ee5d30 
sha512  35e59073c0fecdeca1f0a7eb03ddf9e0cbe3d17d70a2fe1827439562ebb76ab4d28e565dfc202de6db79bec0b71d6c64f92d39a6c0517e2762968f79c194b730 
ripemd160  d31d64b45bdfafbce32b17d6c1c71f165156a7b1 