The number 6763
6763 is a twin prime (6761 and 6763 are both prime) and the 871st prime number. Its only divisors are 1 and 6763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6763: a twin prime (6761 and 6763 are both prime); the 871st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6763 is prime, so its only factors are 1 and 6763. It is the 871st prime; the next prime is 6779 and the one before is 6761.
- 3
The divisors add up to 6764; without 6763 itself that is 1, so 6763 is deficient (1 is less than 6763). Euler's totient φ(6763) = 6762 numbers up to 6763 share no factor with it.
- 4
The digits of 6763 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
6763 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6764 |
| Euler totient φ(n) | 6762 |
| Square | 45738169 |
| Cube | 309327236947 |
| Square root | 82.237461 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.763 × |
6763 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-three |
| Binary (base 2) | 1101001101011 |
| Octal (base 8) | 15153 |
| Hexadecimal (base 16) | 1A6B |
| Base 3 | 100021111 |
| As time | 6763 seconds = 1 h 52 min 43 s |
Is 6763 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6763 a prime number?
Yes. 6763 is divisible only by 1 and itself.
What are the factors of 6763?
1, 6763.
What is 6763 in binary?
1101001101011 (hexadecimal 1A6B, octal 15153).
What is the square root of 6763?
About 82.2375.
Is 6763 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6763?
6763 is a twin prime (6761 and 6763 are both prime); the 871st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.