The number 9133
9133 is the 1132nd prime number. Its only divisors are 1 and 9133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9133: the 1132nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9133 is prime, so its only factors are 1 and 9133. It is the 1132nd prime; the next prime is 9137 and the one before is 9127.
- 3
The divisors add up to 9134; without 9133 itself that is 1, so 9133 is deficient (1 is less than 9133). Euler's totient φ(9133) = 9132 numbers up to 9133 share no factor with it.
- 4
The digits of 9133 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
9133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9134 |
| Euler totient φ(n) | 9132 |
| Square | 83411689 |
| Cube | 761798955637 |
| Square root | 95.566731 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.133 × |
9133 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and thirty-three |
| Binary (base 2) | 10001110101101 |
| Octal (base 8) | 21655 |
| Hexadecimal (base 16) | 23AD |
| Base 3 | 110112021 |
| As time | 9133 seconds = 2 h 32 min 13 s |
Is 9133 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 3) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9133 a prime number?
Yes. 9133 is divisible only by 1 and itself.
What are the factors of 9133?
1, 9133.
What is 9133 in binary?
10001110101101 (hexadecimal 23AD, octal 21655).
What is the square root of 9133?
About 95.5667.
Is 9133 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9133?
9133 is the 1132nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.