The number 9767
9767 is a twin prime (9767 and 9769 are both prime) and the 1204th prime number. Its only divisors are 1 and 9767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9767: a twin prime (9767 and 9769 are both prime); the 1204th prime number.
- 2
9767 is prime, so its only factors are 1 and 9767. It is the 1204th prime; the next prime is 9769 and the one before is 9749.
- 3
The divisors add up to 9768; without 9767 itself that is 1, so 9767 is deficient (1 is less than 9767). Euler's totient φ(9767) = 9766 numbers up to 9767 share no factor with it.
- 4
The digits of 9767 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
9767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9768 |
| Euler totient φ(n) | 9766 |
| Square | 95394289 |
| Cube | 931716020663 |
| Square root | 98.828134 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.767 × |
9767 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and sixty-seven |
| Binary (base 2) | 10011000100111 |
| Octal (base 8) | 23047 |
| Hexadecimal (base 16) | 2627 |
| Base 3 | 111101202 |
| As time | 9767 seconds = 2 h 42 min 47 s |
Is 9767 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 9767 a prime number?
Yes. 9767 is divisible only by 1 and itself.
What are the factors of 9767?
1, 9767.
What is 9767 in binary?
10011000100111 (hexadecimal 2627, octal 23047).
What is the square root of 9767?
About 98.8281.
Is 9767 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9767?
9767 is a twin prime (9767 and 9769 are both prime); the 1204th prime number.