The number 8304
8304 is a composite number with 20 divisors. Its prime factorisation is × 3 × 173. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384 … 8304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8304 is composite. Its prime factorisation is
- 3
The divisors add up to 21576; without 8304 itself that is 13272, so 8304 is abundant (13272 is more than 8304). Euler's totient φ(8304) = 2752 numbers up to 8304 share no factor with it.
- 4
The digits of 8304 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8304 = 2^{4} \times 3 \times 173 \]8304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 21576 |
| Euler totient φ(n) | 2752 |
| Square | 68956416 |
| Cube | 572614078464 |
| Square root | 91.126286 (= 4√519) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.304 × |
8304 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and four |
| Binary (base 2) | 10000001110000 |
| Octal (base 8) | 20160 |
| Hexadecimal (base 16) | 2070 |
| Base 3 | 102101120 |
| As time | 8304 seconds = 2 h 18 min 24 s |
Is 8304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8304 ÷ 2 = 4152) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8304 ÷ 3 = 2768) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8304 ÷ 4 = 2076) | 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 | Yes (8304 ÷ 6 = 1384) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (8304 ÷ 8 = 1038) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8304 ÷ 12 = 692) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8304 a prime number?
No. 8304 = × 3 × 173, so it is divisible by 2.
What are the factors of 8304?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304.
What is 8304 in binary?
10000001110000 (hexadecimal 2070, octal 20160).
What is the square root of 8304?
About 91.1263, exactly 4√519.
Is 8304 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8304?
It is a composite number with 20 divisors.