text: ## 13785
  
  13,785 (thirteen thousand seven hundred eighty-five) is an odd five-digits composite number following 13784 and preceding 13786. In scientific notation, it is written as 1.3785 × 104. The sum of its digits is 24. It has a total of 3 prime factors and 8 positive divisors. There are 7,344 positive integers (up to 13785) that are relatively prime to 13785.
  
  ## Basic properties
  
  • Is Prime? No
  • Number parity Odd
  • Number length 5
  • Sum of Digits 24
  • Digital Root 6
  
  ## Name
  
  Short name 13 thousand 785 thirteen thousand seven hundred eighty-five
  
  ## Notation
  
  Scientific notation 1.3785 × 104 13.785 × 103
  
  ## Prime Factorization of 13785
  
  Prime Factorization 3 × 5 × 919
  
  Composite number
  Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 3 Total number of prime factors rad(n) 13785 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0
  
  The prime factorization of 13,785 is 3 × 5 × 919. Since it has a total of 3 prime factors, 13,785 is a composite number.
  
  ## Divisors of 13785
  
  1, 3, 5, 15, 919, 2757, 4595, 13785
  
  8 divisors
  
   Even divisors 0 8 4 4
  Total Divisors Sum of Divisors Aliquot Sum τ(n) 8 Total number of the positive divisors of n σ(n) 22080 Sum of all the positive divisors of n s(n) 8295 Sum of the proper positive divisors of n A(n) 2760 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 117.41 Returns the nth root of the product of n divisors H(n) 4.99457 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors
  
  The number 13,785 can be divided by 8 positive divisors (out of which 0 are even, and 8 are odd). The sum of these divisors (counting 13,785) is 22,080, the average is 2,760.
  
  ## Other Arithmetic Functions (n = 13785)
  
  1 φ(n) n
  Euler Totient Carmichael Lambda Prime Pi φ(n) 7344 Total number of positive integers not greater than n that are coprime to n λ(n) 1836 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1631 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares
  
  There are 7,344 positive integers (less than 13,785) that are coprime with 13,785. And there are approximately 1,631 prime numbers less than or equal to 13,785.
  
  ## Divisibility of 13785
  
   m n mod m 2 3 4 5 6 7 8 9 1 0 1 0 3 2 1 6
  
  The number 13,785 is divisible by 3 and 5.
  
  ## Classification of 13785
  
  • Arithmetic
  • Deficient
  
  • Polite
  
  • Square Free
  
  ### Other numbers
  
  • LucasCarmichael
  • Sphenic
  
  ## Base conversion (13785)
  
  Base System Value
  2 Binary 11010111011001
  3 Ternary 200220120
  4 Quaternary 3113121
  5 Quinary 420120
  6 Senary 143453
  8 Octal 32731
  10 Decimal 13785
  12 Duodecimal 7b89
  20 Vigesimal 1e95
  36 Base36 amx
  
  ## Basic calculations (n = 13785)
  
  ### Multiplication
  
  n×i
   n×2 27570 41355 55140 68925
  
  ### Division
  
  ni
   n⁄2 6892.5 4595 3446.25 2757
  
  ### Exponentiation
  
  ni
   n2 190026225 2619511511625 36109966187750625 497775883898142365625
  
  ### Nth Root
  
  i√n
   2√n 117.41 23.9774 10.8356 6.72793
  
  ## 13785 as geometric shapes
  
  ### Circle
  
   Diameter 27570 86613.7 5.96985e+08
  
  ### Sphere
  
   Volume 1.09726e+13 2.38794e+09 86613.7
  
  ### Square
  
  Length = n
   Perimeter 55140 1.90026e+08 19494.9
  
  ### Cube
  
  Length = n
   Surface area 1.14016e+09 2.61951e+12 23876.3
  
  ### Equilateral Triangle
  
  Length = n
   Perimeter 41355 8.22838e+07 11938.2
  
  ### Triangular Pyramid
  
  Length = n
   Surface area 3.29135e+08 3.08712e+11 11255.4
  
  ## Cryptographic Hash Functions
  
  md5 9d0fd14c56f15732cb894bec23bd6a13 3b15035f2146a40c953deb74980a107a79a859bb f5487450820b4381919a3d211c002daae96195c00472e81deec9ee710bd5c08f b95887654aa5cf6f495a72df332e03a727fb845ab4d1d1d8775f655ef401d39fa2ee93cb044ce4a5091f9e7e53c751ec18bca9fa107cad5d991ec5b94f5bbdb4 69cac118b871e8a78cb211e5a80da440b48eec9c
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distilabel_metadata.role: system
distilabel_metadata.content: ## 13785
  
  13,785 (thirteen thousand seven hundred eighty-five) is an odd five-digits composite number following 13784 and preceding 13786. In scientific notation, it is written as 1.3785 × 104. The sum of its digits is 24. It has a total of 3 prime factors and 8 positive divisors. There are 7,344 positive integers (up to 13785) that are relatively prime to 13785.
  
  ## Basic properties
  
  • Is Prime? No
  • Number parity Odd
  • Number length 5
  • Sum of Digits 24
  • Digital Root 6
  
  ## Name
  
  Short name 13 thousand 785 thirteen thousand seven hundred eighty-five
  
  ## Notation
  
  Scientific notation 1.3785 × 104 13.785 × 103
  
  ## Prime Factorization of 13785
  
  Prime Factorization 3 × 5 × 919
  
  Composite number
  Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 3 Total number of prime factors rad(n) 13785 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0
  
  The prime factorization of 13,785 is 3 × 5 × 919. Since it has a total of 3 prime factors, 13,785 is a composite number.
  
  ## Divisors of 13785
  
  1, 3, 5, 15, 919, 2757, 4595, 13785
  
  8 divisors
  
   Even divisors 0 8 4 4
  Total Divisors Sum of Divisors Aliquot Sum τ(n) 8 Total number of the positive divisors of n σ(n) 22080 Sum of all the positive divisors of n s(n) 8295 Sum of the proper positive divisors of n A(n) 2760 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 117.41 Returns the nth root of the product of n divisors H(n) 4.99457 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors
  
  The number 13,785 can be divided by 8 positive divisors (out of which 0 are even, and 8 are odd). The sum of these divisors (counting 13,785) is 22,080, the average is 2,760.
  
  ## Other Arithmetic Functions (n = 13785)
  
  1 φ(n) n
  Euler Totient Carmichael Lambda Prime Pi φ(n) 7344 Total number of positive integers not greater than n that are coprime to n λ(n) 1836 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1631 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares
  
  There are 7,344 positive integers (less than 13,785) that are coprime with 13,785. And there are approximately 1,631 prime numbers less than or equal to 13,785.
  
  ## Divisibility of 13785
  
   m n mod m 2 3 4 5 6 7 8 9 1 0 1 0 3 2 1 6
  
  The number 13,785 is divisible by 3 and 5.
  
  ## Classification of 13785
  
  • Arithmetic
  • Deficient
  
  • Polite
  
  • Square Free
  
  ### Other numbers
  
  • LucasCarmichael
  • Sphenic
  
  ## Base conversion (13785)
  
  Base System Value
  2 Binary 11010111011001
  3 Ternary 200220120
  4 Quaternary 3113121
  5 Quinary 420120
  6 Senary 143453
  8 Octal 32731
  10 Decimal 13785
  12 Duodecimal 7b89
  20 Vigesimal 1e95
  36 Base36 amx
  
  ## Basic calculations (n = 13785)
  
  ### Multiplication
  
  n×i
   n×2 27570 41355 55140 68925
  
  ### Division
  
  ni
   n⁄2 6892.5 4595 3446.25 2757
  
  ### Exponentiation
  
  ni
   n2 190026225 2619511511625 36109966187750625 497775883898142365625
  
  ### Nth Root
  
  i√n
   2√n 117.41 23.9774 10.8356 6.72793
  
  ## 13785 as geometric shapes
  
  ### Circle
  
   Diameter 27570 86613.7 5.96985e+08
  
  ### Sphere
  
   Volume 1.09726e+13 2.38794e+09 86613.7
  
  ### Square
  
  Length = n
   Perimeter 55140 1.90026e+08 19494.9
  
  ### Cube
  
  Length = n
   Surface area 1.14016e+09 2.61951e+12 23876.3
  
  ### Equilateral Triangle
  
  Length = n
   Perimeter 41355 8.22838e+07 11938.2
  
  ### Triangular Pyramid
  
  Length = n
   Surface area 3.29135e+08 3.08712e+11 11255.4
  
  ## Cryptographic Hash Functions
  
  md5 9d0fd14c56f15732cb894bec23bd6a13 3b15035f2146a40c953deb74980a107a79a859bb f5487450820b4381919a3d211c002daae96195c00472e81deec9ee710bd5c08f b95887654aa5cf6f495a72df332e03a727fb845ab4d1d1d8775f655ef401d39fa2ee93cb044ce4a5091f9e7e53c751ec18bca9fa107cad5d991ec5b94f5bbdb4 69cac118b871e8a78cb211e5a80da440b48eec9c
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text extract is a detailed description of the number 13,785, including its properties, prime factorization, divisors, and other arithmetic functions. It does not contain a specific math question or an answer to a question.
  
  Label: no-question