The number 9697
9697 is the 1197th prime number. Its only divisors are 1 and 9697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9697: the 1197th prime number.
- 2
9697 is prime, so its only factors are 1 and 9697. It is the 1197th prime; the next prime is 9719 and the one before is 9689.
- 3
The divisors add up to 9698; without 9697 itself that is 1, so 9697 is deficient (1 is less than 9697). Euler's totient φ(9697) = 9696 numbers up to 9697 share no factor with it.
- 4
The digits of 9697 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 135 steps to reach 1.
9697 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9698 |
| Euler totient φ(n) | 9696 |
| Square | 94031809 |
| Cube | 911826451873 |
| Square root | 98.473347 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.697 × |
9697 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and ninety-seven |
| Binary (base 2) | 10010111100001 |
| Octal (base 8) | 22741 |
| Hexadecimal (base 16) | 25E1 |
| Base 3 | 111022011 |
| As time | 9697 seconds = 2 h 41 min 37 s |
Is 9697 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 2) | 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 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 9697 a prime number?
Yes. 9697 is divisible only by 1 and itself.
What are the factors of 9697?
1, 9697.
What is 9697 in binary?
10010111100001 (hexadecimal 25E1, octal 22741).
What is the square root of 9697?
About 98.4733.
Is 9697 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9697?
9697 is the 1197th prime number.