The number 6827
6827 is a twin prime (6827 and 6829 are both prime), the 878th prime number and a binary palindrome (1101010101011). Its only divisors are 1 and 6827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6827: a twin prime (6827 and 6829 are both prime); the 878th prime number; a binary palindrome (1101010101011).
- 2
6827 is prime, so its only factors are 1 and 6827. It is the 878th prime; the next prime is 6829 and the one before is 6823.
- 3
The divisors add up to 6828; without 6827 itself that is 1, so 6827 is deficient (1 is less than 6827). Euler's totient φ(6827) = 6826 numbers up to 6827 share no factor with it.
- 4
The digits of 6827 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
6827 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6828 |
| Euler totient φ(n) | 6826 |
| Square | 46607929 |
| Cube | 318192331283 |
| Square root | 82.625662 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.827 × |
6827 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and twenty-seven |
| Binary (base 2) | 1101010101011 |
| Octal (base 8) | 15253 |
| Hexadecimal (base 16) | 1AAB |
| Base 3 | 100100212 |
| As time | 6827 seconds = 1 h 53 min 47 s |
Is 6827 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 2) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 6827 a prime number?
Yes. 6827 is divisible only by 1 and itself.
What are the factors of 6827?
1, 6827.
What is 6827 in binary?
1101010101011 (hexadecimal 1AAB, octal 15253).
What is the square root of 6827?
About 82.6257.
Is 6827 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 6827?
6827 is a twin prime (6827 and 6829 are both prime); the 878th prime number; a binary palindrome (1101010101011).