The number 18000
18000 is a composite number with 60 divisors. Its prime factorisation is × × . Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25 … 18000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18000: a Harshad number: divisible by its digit sum 9.
- 2
18000 is composite. Its prime factorisation is
- 3
The divisors add up to 62868; without 18000 itself that is 44868, so 18000 is abundant (44868 is more than 18000). Euler's totient φ(18000) = 4800 numbers up to 18000 share no factor with it.
- 4
The digits of 18000 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18000 = 2^{4} \times 3^{2} \times 5^{3} \]18000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 62868 |
| Euler totient φ(n) | 4800 |
| Square | 324000000 |
| Cube | 5832000000000 |
| Square root | 134.164079 (= 60√5) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8 × |
18000 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand |
| Binary (base 2) | 100011001010000 |
| Octal (base 8) | 43120 |
| Hexadecimal (base 16) | 4650 |
| Base 3 | 220200200 |
| As time | 18000 seconds = 5 h 0 min 0 s |
Is 18000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18000 ÷ 2 = 9000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18000 ÷ 3 = 6000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18000 ÷ 4 = 4500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18000 ÷ 5 = 3600) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18000 ÷ 6 = 3000) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | Yes (18000 ÷ 8 = 2250) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18000 ÷ 9 = 2000) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18000 ÷ 10 = 1800) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18000 ÷ 12 = 1500) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18000 a prime number?
No. 18000 = × × , so it is divisible by 2.
What are the factors of 18000?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
What is 18000 in binary?
100011001010000 (hexadecimal 4650, octal 43120).
What is the square root of 18000?
About 134.1641, exactly 60√5.
Is 18000 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 18000?
18000 is a Harshad number: divisible by its digit sum 9.