The number 18382
18382 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 101. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 101, 182, 202, 707, 1313, 1414, 2626, 9191, 18382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18382 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18382 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 18382 itself that is 15890, so 18382 is deficient (15890 is less than 18382). Euler's totient φ(18382) = 7200 numbers up to 18382 share no factor with it.
- 4
The digits of 18382 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18382 = 2 \times 7 \times 13 \times 101 \]
18382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 7200 |
| Square | 337897924 |
| Cube | 6211239638968 |
| Square root | 135.580235 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8382 × |
18382 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and eighty-two |
| Binary (base 2) | 100011111001110 |
| Octal (base 8) | 43716 |
| Hexadecimal (base 16) | 47CE |
| Base 3 | 221012211 |
| As time | 18382 seconds = 5 h 6 min 22 s |
Is 18382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18382 ÷ 2 = 9191) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18382 ÷ 7 = 2626) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18382 a prime number?
No. 18382 = 2 × 7 × 13 × 101, so it is divisible by 2.
What are the factors of 18382?
1, 2, 7, 13, 14, 26, 91, 101, 182, 202, 707, 1313, 1414, 2626, 9191, 18382.
What is 18382 in binary?
100011111001110 (hexadecimal 47CE, octal 43716).
What is the square root of 18382?
About 135.5802.
Is 18382 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 18382?
It is a composite number with 16 divisors.