98807 (number)
98,807 (ninetyeight thousand eight hundred seven) is an odd fivedigits prime number following 98806 and preceding 98808. In scientific notation, it is written as 9.8807 × 10^{4}. The sum of its digits is 32. It has a total of 1 prime factor and 2 positive divisors. There are 98,806 positive integers (up to 98807) that are relatively prime to 98807.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 32
 Digital Root 5
Name
Short name  98 thousand 807 

Full name  ninetyeight thousand eight hundred seven 
Notation
Scientific notation  9.8807 × 10^{4} 

Engineering notation  98.807 × 10^{3} 
Prime Factorization of 98807
Prime Factorization 98807
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  98807  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  11.500923731429  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 98,807 is 98807. Since it has a total of 1 prime factor, 98,807 is a prime number.
Divisors of 98807
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  98808  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  49404  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  314.33580769616  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999979758724  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 98,807 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 98,807) is 98,808, the average is 49,404.
Other Arithmetic Functions (n = 98807)
φ(n)  Euler Totient  98806  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  98806  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9478  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 98,806 positive integers (less than 98,807) that are coprime with 98,807. And there are approximately 9,478 prime numbers less than or equal to 98,807.
Divisibility of 98807
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  2  5  2  7  5 
98,807 is not divisible by any number less than or equal to 9.
Classification of 98807
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (98807)
Base  System  Value 

2  Binary  11000000111110111 
3  Ternary  12000112112 
4  Quaternary  120013313 
5  Quinary  11130212 
6  Senary  2041235 
8  Octal  300767 
10  Decimal  98807 
12  Duodecimal  4921b 
16  Hexadecimal  181f7 
20  Vigesimal  c707 
36  Base36  248n 
Basic calculations (n = 98807)
Multiplication
n×yn×2  197614 

n×3  296421 
n×4  395228 
n×5  494035 
Division
n÷yn÷2  49403.500 

n÷3  32935.666 
n÷4  24701.750 
n÷5  19761.400 
Exponentiation
n^{y}n^{2}  9762823249 

n^{3}  964635276763943 
n^{4}  95312717791214916001 
n^{5}  9417563706796572205310807 
Nth Root
^{y}√n^{2}√n  314.33580769616 

^{3}√n  46.230568901069 
^{4}√n  17.729517976983 
^{5}√n  9.9760253182022 
98807 as geometric shapes
Circle
Radius = nDiameter  197614 

Circumference  620822.69064649 
Area  30670813797.354 
Sphere
Radius = nVolume  4.0406547985002E+15 

Surface area  122683255189.42 
Circumference  620822.69064649 
Square
Length = nPerimeter  395228 

Area  9762823249 
Diagonal  139734.1994574 
Cube
Length = nSurface area  58576939494 

Volume  964635276763943 
Space diagonal  171138.74414346 
Equilateral Triangle
Length = nPerimeter  296421 

Area  4227426473.1457 
Altitude  85569.372071729 
Triangular Pyramid
Length = nSurface area  16909705892.583 

Volume  1.1368335759526E+14 
Height  80675.577671726 
Cryptographic Hash Functions
md5  603305f55b8a1e64508fa2ba82885b00 

sha1  129fa28e57cc71000d4d8731efb291d5e569b484 
sha256  3d370401e5409a8f7eabcbcbb21e329acb161a819ebe42cb99f295d55e405703 
sha512  7b6216b2f3e2189049a8fdf636b57ace92b324990f5699015d960891935809365d519d158591158330e7725bfbbbae3b242b1b28fc706c16f15bb7c193b5e5a5 
ripemd160  e8857f9f83e039ad6c4329cc481d9cee3a9a04a0 