The number 9769
9769 is a twin prime (9767 and 9769 are both prime) and the 1205th prime number. Its only divisors are 1 and 9769.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9769: a twin prime (9767 and 9769 are both prime); the 1205th prime number.
- 2
9769 is prime, so its only factors are 1 and 9769. It is the 1205th prime; the next prime is 9781 and the one before is 9767.
- 3
The divisors add up to 9770; without 9769 itself that is 1, so 9769 is deficient (1 is less than 9769). Euler's totient φ(9769) = 9768 numbers up to 9769 share no factor with it.
- 4
The digits of 9769 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
9769 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9770 |
| Euler totient φ(n) | 9768 |
| Square | 95433361 |
| Cube | 932288503609 |
| Square root | 98.838252 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.769 × |
9769 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and sixty-nine |
| Binary (base 2) | 10011000101001 |
| Octal (base 8) | 23051 |
| Hexadecimal (base 16) | 2629 |
| Base 3 | 111101211 |
| As time | 9769 seconds = 2 h 42 min 49 s |
Is 9769 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 4) | 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 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 9769 a prime number?
Yes. 9769 is divisible only by 1 and itself.
What are the factors of 9769?
1, 9769.
What is 9769 in binary?
10011000101001 (hexadecimal 2629, octal 23051).
What is the square root of 9769?
About 98.8383.
Is 9769 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9769?
9769 is a twin prime (9767 and 9769 are both prime); the 1205th prime number.