The number 9397
9397 is the 1162nd prime number. Its only divisors are 1 and 9397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9397: the 1162nd prime number.
- 2
9397 is prime, so its only factors are 1 and 9397. It is the 1162nd prime; the next prime is 9403 and the one before is 9391.
- 3
The divisors add up to 9398; without 9397 itself that is 1, so 9397 is deficient (1 is less than 9397). Euler's totient φ(9397) = 9396 numbers up to 9397 share no factor with it.
- 4
The digits of 9397 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
9397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9398 |
| Euler totient φ(n) | 9396 |
| Square | 88303609 |
| Cube | 829789013773 |
| Square root | 96.938125 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.397 × |
9397 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and ninety-seven |
| Binary (base 2) | 10010010110101 |
| Octal (base 8) | 22265 |
| Hexadecimal (base 16) | 24B5 |
| Base 3 | 110220001 |
| As time | 9397 seconds = 2 h 36 min 37 s |
Is 9397 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 9397 a prime number?
Yes. 9397 is divisible only by 1 and itself.
What are the factors of 9397?
1, 9397.
What is 9397 in binary?
10010010110101 (hexadecimal 24B5, octal 22265).
What is the square root of 9397?
About 96.9381.
Is 9397 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9397?
9397 is the 1162nd prime number.