The number 6709
6709 is the 866th prime number. Its only divisors are 1 and 6709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6709: the 866th prime number.
- 2
6709 is prime, so its only factors are 1 and 6709. It is the 866th prime; the next prime is 6719 and the one before is 6703.
- 3
The divisors add up to 6710; without 6709 itself that is 1, so 6709 is deficient (1 is less than 6709). Euler's totient φ(6709) = 6708 numbers up to 6709 share no factor with it.
- 4
The digits of 6709 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
6709 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6710 |
| Euler totient φ(n) | 6708 |
| Square | 45010681 |
| Cube | 301976658829 |
| Square root | 81.908486 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.709 × |
6709 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and nine |
| Binary (base 2) | 1101000110101 |
| Octal (base 8) | 15065 |
| Hexadecimal (base 16) | 1A35 |
| Base 3 | 100012111 |
| As time | 6709 seconds = 1 h 51 min 49 s |
Is 6709 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6709 a prime number?
Yes. 6709 is divisible only by 1 and itself.
What are the factors of 6709?
1, 6709.
What is 6709 in binary?
1101000110101 (hexadecimal 1A35, octal 15065).
What is the square root of 6709?
About 81.9085.
Is 6709 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6709?
6709 is the 866th prime number.