The number 18368
18368 is a composite number with 28 divisors. Its prime factorisation is × 7 × 41. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 164, 224 … 18368.
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How to work it out
- 1
18368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18368 is composite. Its prime factorisation is
- 3
The divisors add up to 42672; without 18368 itself that is 24304, so 18368 is abundant (24304 is more than 18368). Euler's totient φ(18368) = 7680 numbers up to 18368 share no factor with it.
- 4
The digits of 18368 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18368 = 2^{6} \times 7 \times 41 \]18368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 42672 |
| Euler totient φ(n) | 7680 |
| Square | 337383424 |
| Cube | 6197058732032 |
| Square root | 135.528595 (= 8√287) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8368 × |
18368 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and sixty-eight |
| Binary (base 2) | 100011111000000 |
| Octal (base 8) | 43700 |
| Hexadecimal (base 16) | 47C0 |
| Base 3 | 221012022 |
| As time | 18368 seconds = 5 h 6 min 8 s |
Is 18368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18368 ÷ 2 = 9184) | 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 | Yes (18368 ÷ 4 = 4592) | 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 | Yes (18368 ÷ 7 = 2624) | 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 | Yes (18368 ÷ 8 = 2296) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18368 a prime number?
No. 18368 = × 7 × 41, so it is divisible by 2.
What are the factors of 18368?
1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 164, 224, 287, 328, 448, 574, 656, 1148, 1312, 2296, 2624, 4592, 9184, 18368.
What is 18368 in binary?
100011111000000 (hexadecimal 47C0, octal 43700).
What is the square root of 18368?
About 135.5286, exactly 8√287.
Is 18368 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 18368?
It is a composite number with 28 divisors.