The number 9018
9018 is a composite number with 16 divisors. Its prime factorisation is 2 × × 167. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9018: a Harshad number: divisible by its digit sum 18.
- 2
9018 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 9018 itself that is 11142, so 9018 is abundant (11142 is more than 9018). Euler's totient φ(9018) = 2988 numbers up to 9018 share no factor with it.
- 4
The digits of 9018 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9018 = 2 \times 3^{3} \times 167 \]9018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 2988 |
| Square | 81324324 |
| Cube | 733382753832 |
| Square root | 94.963151 (= 3√1002) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 9.018 × |
9018 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eighteen |
| Binary (base 2) | 10001100111010 |
| Octal (base 8) | 21472 |
| Hexadecimal (base 16) | 233A |
| Base 3 | 110101000 |
| As time | 9018 seconds = 2 h 30 min 18 s |
Is 9018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9018 ÷ 2 = 4509) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9018 ÷ 3 = 3006) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9018 ÷ 6 = 1503) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9018 ÷ 9 = 1002) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9018 a prime number?
No. 9018 = 2 × × 167, so it is divisible by 2.
What are the factors of 9018?
1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018.
What is 9018 in binary?
10001100111010 (hexadecimal 233A, octal 21472).
What is the square root of 9018?
About 94.9632, exactly 3√1002.
Is 9018 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9018?
9018 is a Harshad number: divisible by its digit sum 18.