The number 18038
18038 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 311. Divisors (8): 1, 2, 29, 58, 311, 622, 9019, 18038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18038 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18038 is composite. Its prime factorisation is
- 3
The divisors add up to 28080; without 18038 itself that is 10042, so 18038 is deficient (10042 is less than 18038). Euler's totient φ(18038) = 8680 numbers up to 18038 share no factor with it.
- 4
The digits of 18038 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18038 = 2 \times 29 \times 311 \]
18038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28080 |
| Euler totient φ(n) | 8680 |
| Square | 325369444 |
| Cube | 5869014030872 |
| Square root | 134.305622 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8038 × |
18038 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and thirty-eight |
| Binary (base 2) | 100011001110110 |
| Octal (base 8) | 43166 |
| Hexadecimal (base 16) | 4676 |
| Base 3 | 220202002 |
| As time | 18038 seconds = 5 h 0 min 38 s |
Is 18038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18038 ÷ 2 = 9019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18038 a prime number?
No. 18038 = 2 × 29 × 311, so it is divisible by 2.
What are the factors of 18038?
1, 2, 29, 58, 311, 622, 9019, 18038.
What is 18038 in binary?
100011001110110 (hexadecimal 4676, octal 43166).
What is the square root of 18038?
About 134.3056.
Is 18038 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18038?
It is a composite number with 8 divisors.