The number 18198
18198 is a composite number with 16 divisors. Its prime factorisation is 2 × × 337. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 337, 674, 1011, 2022, 3033, 6066, 9099, 18198.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18198: a Harshad number: divisible by its digit sum 27.
- 2
18198 is composite. Its prime factorisation is
- 3
The divisors add up to 40560; without 18198 itself that is 22362, so 18198 is abundant (22362 is more than 18198). Euler's totient φ(18198) = 6048 numbers up to 18198 share no factor with it.
- 4
The digits of 18198 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18198 = 2 \times 3^{3} \times 337 \]18198 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40560 |
| Euler totient φ(n) | 6048 |
| Square | 331167204 |
| Cube | 6026580778392 |
| Square root | 134.899963 (= 3√2022) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8198 × |
18198 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and ninety-eight |
| Binary (base 2) | 100011100010110 |
| Octal (base 8) | 43426 |
| Hexadecimal (base 16) | 4716 |
| Base 3 | 220222000 |
| As time | 18198 seconds = 5 h 3 min 18 s |
Is 18198 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18198 ÷ 2 = 9099) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18198 ÷ 3 = 6066) | 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 (18198 ÷ 6 = 3033) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (18198 ÷ 9 = 2022) | 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 4) | 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 18198 a prime number?
No. 18198 = 2 × × 337, so it is divisible by 2.
What are the factors of 18198?
1, 2, 3, 6, 9, 18, 27, 54, 337, 674, 1011, 2022, 3033, 6066, 9099, 18198.
What is 18198 in binary?
100011100010110 (hexadecimal 4716, octal 43426).
What is the square root of 18198?
About 134.9000, exactly 3√2022.
Is 18198 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18198?
18198 is a Harshad number: divisible by its digit sum 27.