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The number 18189

18189 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 43 × 47. Divisors (12): 1, 3, 9, 43, 47, 129, 141, 387, 423, 2021, 6063, 18189.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    18189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    18189 is composite. Its prime factorisation is

    18189=32×43×4718189 = 3^{2} \times 43 \times 47
  3. 3

    The divisors add up to 27456; without 18189 itself that is 9267, so 18189 is deficient (9267 is less than 18189). Euler's totient φ(18189) = 11592 numbers up to 18189 share no factor with it.

  4. 4

    The digits of 18189 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18189 = 3^{2} \times 43 \times 47 \]

18189 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors27456
Euler totient φ(n)11592
Square330839721
Cube6017643685269
Square root134.866601 (= 3√2021)
Digit sum / digital root27 / 9
Collatz steps to 1141
Scientific notation1.8189 × 10410^{4}

18189 in other forms

FormValue
In wordseighteen thousand one hundred and eighty-nine
Binary (base 2)100011100001101
Octal (base 8)43415
Hexadecimal (base 16)470D
Base 3220221200
As time18189 seconds = 5 h 3 min 9 s

Is 18189 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).
3Yes (18189 ÷ 3 = 6063)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (18189 ÷ 9 = 2021)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18189 a prime number?

No. 18189 = 323^{2} × 43 × 47, so it is divisible by 3.

What are the factors of 18189?

1, 3, 9, 43, 47, 129, 141, 387, 423, 2021, 6063, 18189.

What is 18189 in binary?

100011100001101 (hexadecimal 470D, octal 43415).

What is the square root of 18189?

About 134.8666, exactly 3√2021.

Is 18189 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 18189?

It is a composite number with 12 divisors.

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    18189: is it prime? Factors, square root, binary, Roman numeral | WordGPT