The number 8364
8364 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 41. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204 … 8364.
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How to work it out
- 1
8364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8364 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 8364 itself that is 12804, so 8364 is abundant (12804 is more than 8364). Euler's totient φ(8364) = 2560 numbers up to 8364 share no factor with it.
- 4
The digits of 8364 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8364 = 2^{2} \times 3 \times 17 \times 41 \]8364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 2560 |
| Square | 69956496 |
| Cube | 585116132544 |
| Square root | 91.454907 (= 2√2091) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.364 × |
8364 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and sixty-four |
| Binary (base 2) | 10000010101100 |
| Octal (base 8) | 20254 |
| Hexadecimal (base 16) | 20AC |
| Base 3 | 102110210 |
| As time | 8364 seconds = 2 h 19 min 24 s |
Is 8364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8364 ÷ 2 = 4182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8364 ÷ 3 = 2788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8364 ÷ 4 = 2091) | 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 (8364 ÷ 6 = 1394) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8364 ÷ 12 = 697) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8364 a prime number?
No. 8364 = × 3 × 17 × 41, so it is divisible by 2.
What are the factors of 8364?
1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364.
What is 8364 in binary?
10000010101100 (hexadecimal 20AC, octal 20254).
What is the square root of 8364?
About 91.4549, exactly 2√2091.
Is 8364 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8364?
It is a composite number with 24 divisors.