The number 6793
6793 is a twin prime (6791 and 6793 are both prime) and the 875th prime number. Its only divisors are 1 and 6793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6793: a twin prime (6791 and 6793 are both prime); the 875th prime number.
- 2
6793 is prime, so its only factors are 1 and 6793. It is the 875th prime; the next prime is 6803 and the one before is 6791.
- 3
The divisors add up to 6794; without 6793 itself that is 1, so 6793 is deficient (1 is less than 6793). Euler's totient φ(6793) = 6792 numbers up to 6793 share no factor with it.
- 4
The digits of 6793 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 75 steps to reach 1.
6793 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6794 |
| Euler totient φ(n) | 6792 |
| Square | 46144849 |
| Cube | 313461959257 |
| Square root | 82.419658 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 6.793 × |
6793 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and ninety-three |
| Binary (base 2) | 1101010001001 |
| Octal (base 8) | 15211 |
| Hexadecimal (base 16) | 1A89 |
| Base 3 | 100022121 |
| As time | 6793 seconds = 1 h 53 min 13 s |
Is 6793 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 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 6793 a prime number?
Yes. 6793 is divisible only by 1 and itself.
What are the factors of 6793?
1, 6793.
What is 6793 in binary?
1101010001001 (hexadecimal 1A89, octal 15211).
What is the square root of 6793?
About 82.4197.
Is 6793 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6793?
6793 is a twin prime (6791 and 6793 are both prime); the 875th prime number.