The number 6791
6791 is a twin prime (6791 and 6793 are both prime) and the 874th prime number. Its only divisors are 1 and 6791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6791: a twin prime (6791 and 6793 are both prime); the 874th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6791 is prime, so its only factors are 1 and 6791. It is the 874th prime; the next prime is 6793 and the one before is 6781.
- 3
The divisors add up to 6792; without 6791 itself that is 1, so 6791 is deficient (1 is less than 6791). Euler's totient φ(6791) = 6790 numbers up to 6791 share no factor with it.
- 4
The digits of 6791 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 36 steps to reach 1.
6791 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6792 |
| Euler totient φ(n) | 6790 |
| Square | 46117681 |
| Cube | 313185171671 |
| Square root | 82.407524 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.791 × |
6791 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and ninety-one |
| Binary (base 2) | 1101010000111 |
| Octal (base 8) | 15207 |
| Hexadecimal (base 16) | 1A87 |
| Base 3 | 100022112 |
| As time | 6791 seconds = 1 h 53 min 11 s |
Is 6791 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 1) | 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 1) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 6791 a prime number?
Yes. 6791 is divisible only by 1 and itself.
What are the factors of 6791?
1, 6791.
What is 6791 in binary?
1101010000111 (hexadecimal 1A87, octal 15207).
What is the square root of 6791?
About 82.4075.
Is 6791 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 6791?
6791 is a twin prime (6791 and 6793 are both prime); the 874th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.