The number 9137
9137 is the 1133rd prime number. Its only divisors are 1 and 9137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9137: the 1133rd prime number.
- 2
9137 is prime, so its only factors are 1 and 9137. It is the 1133rd prime; the next prime is 9151 and the one before is 9133.
- 3
The divisors add up to 9138; without 9137 itself that is 1, so 9137 is deficient (1 is less than 9137). Euler's totient φ(9137) = 9136 numbers up to 9137 share no factor with it.
- 4
The digits of 9137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
9137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9138 |
| Euler totient φ(n) | 9136 |
| Square | 83484769 |
| Cube | 762800334353 |
| Square root | 95.587656 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.137 × |
9137 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and thirty-seven |
| Binary (base 2) | 10001110110001 |
| Octal (base 8) | 21661 |
| Hexadecimal (base 16) | 23B1 |
| Base 3 | 110112102 |
| As time | 9137 seconds = 2 h 32 min 17 s |
Is 9137 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 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 1) | 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 7) | 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 9137 a prime number?
Yes. 9137 is divisible only by 1 and itself.
What are the factors of 9137?
1, 9137.
What is 9137 in binary?
10001110110001 (hexadecimal 23B1, octal 21661).
What is the square root of 9137?
About 95.5877.
Is 9137 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9137?
9137 is the 1133rd prime number.