The number 6761
6761 is a twin prime (6761 and 6763 are both prime) and the 870th prime number. Its only divisors are 1 and 6761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6761: a twin prime (6761 and 6763 are both prime); the 870th prime number.
- 2
6761 is prime, so its only factors are 1 and 6761. It is the 870th prime; the next prime is 6763 and the one before is 6737.
- 3
The divisors add up to 6762; without 6761 itself that is 1, so 6761 is deficient (1 is less than 6761). Euler's totient φ(6761) = 6760 numbers up to 6761 share no factor with it.
- 4
The digits of 6761 add up to 20, 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.
6761 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6762 |
| Euler totient φ(n) | 6760 |
| Square | 45711121 |
| Cube | 309052889081 |
| Square root | 82.225300 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.761 × |
6761 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-one |
| Binary (base 2) | 1101001101001 |
| Octal (base 8) | 15151 |
| Hexadecimal (base 16) | 1A69 |
| Base 3 | 100021102 |
| As time | 6761 seconds = 1 h 52 min 41 s |
Is 6761 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 1) | 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 6) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6761 a prime number?
Yes. 6761 is divisible only by 1 and itself.
What are the factors of 6761?
1, 6761.
What is 6761 in binary?
1101001101001 (hexadecimal 1A69, octal 15151).
What is the square root of 6761?
About 82.2253.
Is 6761 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6761?
6761 is a twin prime (6761 and 6763 are both prime); the 870th prime number.