The number 18320
18320 is a composite number with 20 divisors. Its prime factorisation is × 5 × 229. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 229, 458, 916, 1145, 1832, 2290 … 18320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18320 is composite. Its prime factorisation is
- 3
The divisors add up to 42780; without 18320 itself that is 24460, so 18320 is abundant (24460 is more than 18320). Euler's totient φ(18320) = 7296 numbers up to 18320 share no factor with it.
- 4
The digits of 18320 add up to 14, 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
\[ 18320 = 2^{4} \times 5 \times 229 \]18320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 42780 |
| Euler totient φ(n) | 7296 |
| Square | 335622400 |
| Cube | 6148602368000 |
| Square root | 135.351395 (= 4√1145) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.832 × |
18320 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and twenty |
| Binary (base 2) | 100011110010000 |
| Octal (base 8) | 43620 |
| Hexadecimal (base 16) | 4790 |
| Base 3 | 221010112 |
| As time | 18320 seconds = 5 h 5 min 20 s |
Is 18320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18320 ÷ 2 = 9160) | 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 (18320 ÷ 4 = 4580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18320 ÷ 5 = 3664) | 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 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 | Yes (18320 ÷ 8 = 2290) | 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 | Yes (18320 ÷ 10 = 1832) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 18320 a prime number?
No. 18320 = × 5 × 229, so it is divisible by 2.
What are the factors of 18320?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 229, 458, 916, 1145, 1832, 2290, 3664, 4580, 9160, 18320.
What is 18320 in binary?
100011110010000 (hexadecimal 4790, octal 43620).
What is the square root of 18320?
About 135.3514, exactly 4√1145.
Is 18320 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 18320?
It is a composite number with 20 divisors.