The number 6779
6779 is a twin prime (6779 and 6781 are both prime) and the 872nd prime number. Its only divisors are 1 and 6779.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6779: a twin prime (6779 and 6781 are both prime); the 872nd prime number.
- 2
6779 is prime, so its only factors are 1 and 6779. It is the 872nd prime; the next prime is 6781 and the one before is 6763.
- 3
The divisors add up to 6780; without 6779 itself that is 1, so 6779 is deficient (1 is less than 6779). Euler's totient φ(6779) = 6778 numbers up to 6779 share no factor with it.
- 4
The digits of 6779 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
6779 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6780 |
| Euler totient φ(n) | 6778 |
| Square | 45954841 |
| Cube | 311527867139 |
| Square root | 82.334683 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.779 × |
6779 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and seventy-nine |
| Binary (base 2) | 1101001111011 |
| Octal (base 8) | 15173 |
| Hexadecimal (base 16) | 1A7B |
| Base 3 | 100022002 |
| As time | 6779 seconds = 1 h 52 min 59 s |
Is 6779 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6779 a prime number?
Yes. 6779 is divisible only by 1 and itself.
What are the factors of 6779?
1, 6779.
What is 6779 in binary?
1101001111011 (hexadecimal 1A7B, octal 15173).
What is the square root of 6779?
About 82.3347.
Is 6779 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 6779?
6779 is a twin prime (6779 and 6781 are both prime); the 872nd prime number.