The number 18338
18338 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 173. Divisors (8): 1, 2, 53, 106, 173, 346, 9169, 18338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18338 is composite. Its prime factorisation is
- 3
The divisors add up to 28188; without 18338 itself that is 9850, so 18338 is deficient (9850 is less than 18338). Euler's totient φ(18338) = 8944 numbers up to 18338 share no factor with it.
- 4
The digits of 18338 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18338 = 2 \times 53 \times 173 \]
18338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28188 |
| Euler totient φ(n) | 8944 |
| Square | 336282244 |
| Cube | 6166743790472 |
| Square root | 135.417872 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8338 × |
18338 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and thirty-eight |
| Binary (base 2) | 100011110100010 |
| Octal (base 8) | 43642 |
| Hexadecimal (base 16) | 47A2 |
| Base 3 | 221011012 |
| As time | 18338 seconds = 5 h 5 min 38 s |
Is 18338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18338 ÷ 2 = 9169) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 18338 a prime number?
No. 18338 = 2 × 53 × 173, so it is divisible by 2.
What are the factors of 18338?
1, 2, 53, 106, 173, 346, 9169, 18338.
What is 18338 in binary?
100011110100010 (hexadecimal 47A2, octal 43642).
What is the square root of 18338?
About 135.4179.
Is 18338 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18338?
It is a composite number with 8 divisors.