The number 6829
6829 is a twin prime (6827 and 6829 are both prime) and the 879th prime number. Its only divisors are 1 and 6829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6829: a twin prime (6827 and 6829 are both prime); the 879th prime number.
- 2
6829 is prime, so its only factors are 1 and 6829. It is the 879th prime; the next prime is 6833 and the one before is 6827.
- 3
The divisors add up to 6830; without 6829 itself that is 1, so 6829 is deficient (1 is less than 6829). Euler's totient φ(6829) = 6828 numbers up to 6829 share no factor with it.
- 4
The digits of 6829 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
6829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6830 |
| Euler totient φ(n) | 6828 |
| Square | 46635241 |
| Cube | 318472060789 |
| Square root | 82.637764 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.829 × |
6829 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and twenty-nine |
| Binary (base 2) | 1101010101101 |
| Octal (base 8) | 15255 |
| Hexadecimal (base 16) | 1AAD |
| Base 3 | 100100221 |
| As time | 6829 seconds = 1 h 53 min 49 s |
Is 6829 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 4) | 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 7) | 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 9) | 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 6829 a prime number?
Yes. 6829 is divisible only by 1 and itself.
What are the factors of 6829?
1, 6829.
What is 6829 in binary?
1101010101101 (hexadecimal 1AAD, octal 15255).
What is the square root of 6829?
About 82.6378.
Is 6829 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6829?
6829 is a twin prime (6827 and 6829 are both prime); the 879th prime number.