The number 18006
18006 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3001. Divisors (8): 1, 2, 3, 6, 3001, 6002, 9003, 18006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18006 is composite. Its prime factorisation is
- 3
The divisors add up to 36024; without 18006 itself that is 18018, so 18006 is abundant (18018 is more than 18006). Euler's totient φ(18006) = 6000 numbers up to 18006 share no factor with it.
- 4
The digits of 18006 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18006 = 2 \times 3 \times 3001 \]
18006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36024 |
| Euler totient φ(n) | 6000 |
| Square | 324216036 |
| Cube | 5837833944216 |
| Square root | 134.186437 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.8006 × |
18006 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and six |
| Binary (base 2) | 100011001010110 |
| Octal (base 8) | 43126 |
| Hexadecimal (base 16) | 4656 |
| Base 3 | 220200220 |
| As time | 18006 seconds = 5 h 0 min 6 s |
Is 18006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18006 ÷ 2 = 9003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18006 ÷ 3 = 6002) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18006 ÷ 6 = 3001) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18006 a prime number?
No. 18006 = 2 × 3 × 3001, so it is divisible by 2.
What are the factors of 18006?
1, 2, 3, 6, 3001, 6002, 9003, 18006.
What is 18006 in binary?
100011001010110 (hexadecimal 4656, octal 43126).
What is the square root of 18006?
About 134.1864.
Is 18006 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18006?
It is a composite number with 8 divisors.