The number 6704
6704 is a composite number with 10 divisors. Its prime factorisation is × 419. Divisors (10): 1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6704 is composite. Its prime factorisation is
- 3
The divisors add up to 13020; without 6704 itself that is 6316, so 6704 is deficient (6316 is less than 6704). Euler's totient φ(6704) = 3344 numbers up to 6704 share no factor with it.
- 4
The digits of 6704 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6704 = 2^{4} \times 419 \]6704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 13020 |
| Euler totient φ(n) | 3344 |
| Square | 44943616 |
| Cube | 301302001664 |
| Square root | 81.877958 (= 4√419) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.704 × |
6704 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and four |
| Binary (base 2) | 1101000110000 |
| Octal (base 8) | 15060 |
| Hexadecimal (base 16) | 1A30 |
| Base 3 | 100012022 |
| As time | 6704 seconds = 1 h 51 min 44 s |
Is 6704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6704 ÷ 2 = 3352) | 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 (6704 ÷ 4 = 1676) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (6704 ÷ 8 = 838) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 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 6704 a prime number?
No. 6704 = × 419, so it is divisible by 2.
What are the factors of 6704?
1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704.
What is 6704 in binary?
1101000110000 (hexadecimal 1A30, octal 15060).
What is the square root of 6704?
About 81.8780, exactly 4√419.
Is 6704 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6704?
It is a composite number with 10 divisors.