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The number 14209

14209 is a composite number with 4 divisors. Its prime factorisation is 13 × 1093. Divisors (4): 1, 13, 1093, 14209.

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How to work it out

  1. 1

    What is special about 14209: a semiprime: 13 × 1093, the product of two primes.

  2. 2

    14209 is composite. Its prime factorisation is

    14209=13×109314209 = 13 \times 1093
  3. 3

    The divisors add up to 15316; without 14209 itself that is 1107, so 14209 is deficient (1107 is less than 14209). Euler's totient φ(14209) = 13104 numbers up to 14209 share no factor with it.

  4. 4

    The digits of 14209 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14209 = 13 \times 1093 \]

14209 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15316
Euler totient φ(n)13104
Square201895681
Cube2868735731329
Square root119.201510
Digit sum / digital root16 / 7
Collatz steps to 189
Scientific notation1.4209 × 10410^{4}

14209 in other forms

FormValue
In wordsfourteen thousand two hundred and nine
Binary (base 2)11011110000001
Octal (base 8)33601
Hexadecimal (base 16)3781
Base 3201111021
As time14209 seconds = 3 h 56 min 49 s

Is 14209 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14209 a prime number?

No. 14209 = 13 × 1093, so it is divisible by 13.

What are the factors of 14209?

1, 13, 1093, 14209.

What is 14209 in binary?

11011110000001 (hexadecimal 3781, octal 33601).

What is the square root of 14209?

About 119.2015.

Is 14209 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 14209?

14209 is a semiprime: 13 × 1093, the product of two primes.

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    14209: is it prime? Factors, square root, binary, Roman numeral | WordGPT