The number 18117
18117 is a composite number with 16 divisors. Its prime factorisation is × 11 × 61. Divisors (16): 1, 3, 9, 11, 27, 33, 61, 99, 183, 297, 549, 671, 1647, 2013, 6039, 18117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18117 is composite. Its prime factorisation is
- 3
The divisors add up to 29760; without 18117 itself that is 11643, so 18117 is deficient (11643 is less than 18117). Euler's totient φ(18117) = 10800 numbers up to 18117 share no factor with it.
- 4
The digits of 18117 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18117 = 3^{3} \times 11 \times 61 \]18117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29760 |
| Euler totient φ(n) | 10800 |
| Square | 328225689 |
| Cube | 5946464807613 |
| Square root | 134.599406 (= 3√2013) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8117 × |
18117 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and seventeen |
| Binary (base 2) | 100011011000101 |
| Octal (base 8) | 43305 |
| Hexadecimal (base 16) | 46C5 |
| Base 3 | 220212000 |
| As time | 18117 seconds = 5 h 1 min 57 s |
Is 18117 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18117 ÷ 3 = 6039) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18117 ÷ 9 = 2013) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18117 ÷ 11 = 1647) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18117 a prime number?
No. 18117 = × 11 × 61, so it is divisible by 3.
What are the factors of 18117?
1, 3, 9, 11, 27, 33, 61, 99, 183, 297, 549, 671, 1647, 2013, 6039, 18117.
What is 18117 in binary?
100011011000101 (hexadecimal 46C5, octal 43305).
What is the square root of 18117?
About 134.5994, exactly 3√2013.
Is 18117 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18117?
It is a composite number with 16 divisors.