The number 9733
9733 is the 1200th prime number. Its only divisors are 1 and 9733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9733: the 1200th prime number.
- 2
9733 is prime, so its only factors are 1 and 9733. It is the 1200th prime; the next prime is 9739 and the one before is 9721.
- 3
The divisors add up to 9734; without 9733 itself that is 1, so 9733 is deficient (1 is less than 9733). Euler's totient φ(9733) = 9732 numbers up to 9733 share no factor with it.
- 4
The digits of 9733 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
9733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9734 |
| Euler totient φ(n) | 9732 |
| Square | 94731289 |
| Cube | 922019635837 |
| Square root | 98.655968 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.733 × |
9733 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty-three |
| Binary (base 2) | 10011000000101 |
| Octal (base 8) | 23005 |
| Hexadecimal (base 16) | 2605 |
| Base 3 | 111100111 |
| As time | 9733 seconds = 2 h 42 min 13 s |
Is 9733 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 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 4) | 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 9) | 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 9733 a prime number?
Yes. 9733 is divisible only by 1 and itself.
What are the factors of 9733?
1, 9733.
What is 9733 in binary?
10011000000101 (hexadecimal 2605, octal 23005).
What is the square root of 9733?
About 98.6560.
Is 9733 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9733?
9733 is the 1200th prime number.