The number 18108
18108 is a composite number with 18 divisors. Its prime factorisation is × × 503. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 503, 1006, 1509, 2012, 3018, 4527, 6036 … 18108.
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How to work it out
- 1
What is special about 18108: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
18108 is composite. Its prime factorisation is
- 3
The divisors add up to 45864; without 18108 itself that is 27756, so 18108 is abundant (27756 is more than 18108). Euler's totient φ(18108) = 6024 numbers up to 18108 share no factor with it.
- 4
The digits of 18108 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18108 = 2^{2} \times 3^{2} \times 503 \]18108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 45864 |
| Euler totient φ(n) | 6024 |
| Square | 327899664 |
| Cube | 5937607115712 |
| Square root | 134.565969 (= 6√503) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8108 × |
18108 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and eight |
| Binary (base 2) | 100011010111100 |
| Octal (base 8) | 43274 |
| Hexadecimal (base 16) | 46BC |
| Base 3 | 220211200 |
| As time | 18108 seconds = 5 h 1 min 48 s |
Is 18108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18108 ÷ 2 = 9054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18108 ÷ 3 = 6036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18108 ÷ 4 = 4527) | 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 (18108 ÷ 6 = 3018) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18108 ÷ 9 = 2012) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18108 ÷ 12 = 1509) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18108 a prime number?
No. 18108 = × × 503, so it is divisible by 2.
What are the factors of 18108?
1, 2, 3, 4, 6, 9, 12, 18, 36, 503, 1006, 1509, 2012, 3018, 4527, 6036, 9054, 18108.
What is 18108 in binary?
100011010111100 (hexadecimal 46BC, octal 43274).
What is the square root of 18108?
About 134.5660, exactly 6√503.
Is 18108 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18108?
18108 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.