41729 (number)
41,729 (fortyone thousand seven hundred twentynine) is an odd fivedigits prime number following 41728 and preceding 41730. In scientific notation, it is written as 4.1729 × 10^{4}. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 41,728 positive integers (up to 41729) that are relatively prime to 41729.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 23
 Digital Root 5
Name
Short name  41 thousand 729 

Full name  fortyone thousand seven hundred twentynine 
Notation
Scientific notation  4.1729 × 10^{4} 

Engineering notation  41.729 × 10^{3} 
Prime Factorization of 41729
Prime Factorization 41729
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  41729  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  10.638951609723  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 41,729 is 41729. Since it has a total of 1 prime factor, 41,729 is a prime number.
Divisors of 41729
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  41730  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  20865  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  204.2767730311  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999520728493  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 41,729 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 41,729) is 41,730, the average is 20,865.
Other Arithmetic Functions (n = 41729)
φ(n)  Euler Totient  41728  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  41728  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4363  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 41,728 positive integers (less than 41,729) that are coprime with 41,729. And there are approximately 4,363 prime numbers less than or equal to 41,729.
Divisibility of 41729
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  4  5  2  1  5 
41,729 is not divisible by any number less than or equal to 9.
Classification of 41729
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (41729)
Base  System  Value 

2  Binary  1010001100000001 
3  Ternary  2010020112 
4  Quaternary  22030001 
5  Quinary  2313404 
6  Senary  521105 
8  Octal  121401 
10  Decimal  41729 
12  Duodecimal  20195 
16  Hexadecimal  a301 
20  Vigesimal  5469 
36  Base36  w75 
Basic calculations (n = 41729)
Multiplication
n×yn×2  83458 

n×3  125187 
n×4  166916 
n×5  208645 
Division
n÷yn÷2  20864.500 

n÷3  13909.666 
n÷4  10432.250 
n÷5  8345.800 
Exponentiation
n^{y}n^{2}  1741309441 

n^{3}  72663101663489 
n^{4}  3032158569315732481 
n^{5}  126528944938976200699649 
Nth Root
^{y}√n^{2}√n  204.2767730311 

^{3}√n  34.68534291161 
^{4}√n  14.292542567056 
^{5}√n  8.3962931933235 
41729 as geometric shapes
Circle
Radius = nDiameter  83458 

Circumference  262191.0396833 
Area  5470484947.4721 
Sphere
Radius = nVolume  3.0437048849742E+14 

Surface area  21881939789.889 
Circumference  262191.0396833 
Square
Length = nPerimeter  166916 

Area  1741309441 
Diagonal  59013.717744267 
Cube
Length = nSurface area  10447856646 

Volume  72663101663489 
Space diagonal  72276.748149042 
Equilateral Triangle
Length = nPerimeter  125187 

Area  754009105.87784 
Altitude  36138.374074521 
Triangular Pyramid
Length = nSurface area  3016036423.5114 

Volume  8563428654716.8 
Height  34071.585825533 
Cryptographic Hash Functions
md5  2daeba9b5d09c2ebd5ad42e5477e5d8f 

sha1  25511020a405f3a2d96fe52b62b525dc21221970 
sha256  0d3d613ac50194aff28750a1a440c5e2c0902c47c7395661c37b57089828895a 
sha512  eeb45ee81e4d5ece9acab01946b555bb2ec5a10e45030970895e83804be490598d0879c816968755df0c61266b0f1a8fc01b5a993a16b1f1e346d5eb0c3815ff 
ripemd160  09ed35b1ddcaac1bd8fc0af8fc5ab477d0e7c6f1 