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The number 18027

18027 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 2003. Divisors (6): 1, 3, 9, 2003, 6009, 18027.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    18027 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

    18027 is composite. Its prime factorisation is

    18027=32×200318027 = 3^{2} \times 2003
  3. 3

    The divisors add up to 26052; without 18027 itself that is 8025, so 18027 is deficient (8025 is less than 18027). Euler's totient φ(18027) = 12012 numbers up to 18027 share no factor with it.

  4. 4

    The digits of 18027 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18027 = 3^{2} \times 2003 \]

18027 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors26052
Euler totient φ(n)12012
Square324972729
Cube5858283385683
Square root134.264664 (= 3√2003)
Digit sum / digital root18 / 9
Collatz steps to 179
Scientific notation1.8027 × 10410^{4}

18027 in other forms

FormValue
In wordseighteen thousand and twenty-seven
Binary (base 2)100011001101011
Octal (base 8)43153
Hexadecimal (base 16)466B
Base 3220201200
As time18027 seconds = 5 h 0 min 27 s

Is 18027 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 (18027 ÷ 3 = 6009)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 2)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (18027 ÷ 9 = 2003)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18027 a prime number?

No. 18027 = 323^{2} × 2003, so it is divisible by 3.

What are the factors of 18027?

1, 3, 9, 2003, 6009, 18027.

What is 18027 in binary?

100011001101011 (hexadecimal 466B, octal 43153).

What is the square root of 18027?

About 134.2647, exactly 3√2003.

Is 18027 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 18027?

It is a composite number with 6 divisors.

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    18027: is it prime? Factors, square root, binary, Roman numeral | WordGPT