The number 8394
8394 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1399. Divisors (8): 1, 2, 3, 6, 1399, 2798, 4197, 8394.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8394 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8394 is composite. Its prime factorisation is
- 3
The divisors add up to 16800; without 8394 itself that is 8406, so 8394 is abundant (8406 is more than 8394). Euler's totient φ(8394) = 2796 numbers up to 8394 share no factor with it.
- 4
The digits of 8394 add up to 24, 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
\[ 8394 = 2 \times 3 \times 1399 \]
8394 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16800 |
| Euler totient φ(n) | 2796 |
| Square | 70459236 |
| Cube | 591434826984 |
| Square root | 91.618775 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.394 × |
8394 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and ninety-four |
| Binary (base 2) | 10000011001010 |
| Octal (base 8) | 20312 |
| Hexadecimal (base 16) | 20CA |
| Base 3 | 102111220 |
| As time | 8394 seconds = 2 h 19 min 54 s |
Is 8394 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8394 ÷ 2 = 4197) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8394 ÷ 3 = 2798) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (8394 ÷ 6 = 1399) | 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 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8394 a prime number?
No. 8394 = 2 × 3 × 1399, so it is divisible by 2.
What are the factors of 8394?
1, 2, 3, 6, 1399, 2798, 4197, 8394.
What is 8394 in binary?
10000011001010 (hexadecimal 20CA, octal 20312).
What is the square root of 8394?
About 91.6188.
Is 8394 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8394?
It is a composite number with 8 divisors.