The number 9689
9689 is the 1196th prime number. Its only divisors are 1 and 9689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9689: the 1196th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9689 is prime, so its only factors are 1 and 9689. It is the 1196th prime; the next prime is 9697 and the one before is 9679.
- 3
The divisors add up to 9690; without 9689 itself that is 1, so 9689 is deficient (1 is less than 9689). Euler's totient φ(9689) = 9688 numbers up to 9689 share no factor with it.
- 4
The digits of 9689 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
9689 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9690 |
| Euler totient φ(n) | 9688 |
| Square | 93876721 |
| Cube | 909571549769 |
| Square root | 98.432718 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.689 × |
9689 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and eighty-nine |
| Binary (base 2) | 10010111011001 |
| Octal (base 8) | 22731 |
| Hexadecimal (base 16) | 25D9 |
| Base 3 | 111021212 |
| As time | 9689 seconds = 2 h 41 min 29 s |
Is 9689 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 4) | 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 1) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9689 a prime number?
Yes. 9689 is divisible only by 1 and itself.
What are the factors of 9689?
1, 9689.
What is 9689 in binary?
10010111011001 (hexadecimal 25D9, octal 22731).
What is the square root of 9689?
About 98.4327.
Is 9689 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9689?
9689 is the 1196th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.