The number 18304
18304 is a composite number with 32 divisors. Its prime factorisation is × 11 × 13. Divisors (32): 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128 … 18304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18304: a Harshad number: divisible by its digit sum 16.
- 2
18304 is composite. Its prime factorisation is
- 3
The divisors add up to 42840; without 18304 itself that is 24536, so 18304 is abundant (24536 is more than 18304). Euler's totient φ(18304) = 7680 numbers up to 18304 share no factor with it.
- 4
The digits of 18304 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18304 = 2^{7} \times 11 \times 13 \]18304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 42840 |
| Euler totient φ(n) | 7680 |
| Square | 335036416 |
| Cube | 6132506558464 |
| Square root | 135.292276 (= 8√286) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.8304 × |
18304 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and four |
| Binary (base 2) | 100011110000000 |
| Octal (base 8) | 43600 |
| Hexadecimal (base 16) | 4780 |
| Base 3 | 221002221 |
| As time | 18304 seconds = 5 h 5 min 4 s |
Is 18304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18304 ÷ 2 = 9152) | 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 | Yes (18304 ÷ 4 = 4576) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | 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 | Yes (18304 ÷ 8 = 2288) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18304 ÷ 11 = 1664) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18304 a prime number?
No. 18304 = × 11 × 13, so it is divisible by 2.
What are the factors of 18304?
1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 1408, 1664, 2288, 4576, 9152, 18304.
What is 18304 in binary?
100011110000000 (hexadecimal 4780, octal 43600).
What is the square root of 18304?
About 135.2923, exactly 8√286.
Is 18304 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18304?
18304 is a Harshad number: divisible by its digit sum 16.