The number 27733
27733 is the 3023rd prime number. Its only divisors are 1 and 27733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27733: the 3023rd prime number.
- 2
27733 is prime, so its only factors are 1 and 27733. It is the 3023rd prime; the next prime is 27737 and the one before is 27701.
- 3
The divisors add up to 27734; without 27733 itself that is 1, so 27733 is deficient (1 is less than 27733). Euler's totient φ(27733) = 27732 numbers up to 27733 share no factor with it.
- 4
The digits of 27733 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 33 steps to reach 1.
27733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27734 |
| Euler totient φ(n) | 27732 |
| Square | 769119289 |
| Cube | 21329985241837 |
| Square root | 166.532279 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7733 × |
27733 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and thirty-three |
| Binary (base 2) | 110110001010101 |
| Octal (base 8) | 66125 |
| Hexadecimal (base 16) | 6C55 |
| Base 3 | 1102001011 |
| As time | 27733 seconds = 7 h 42 min 13 s |
Is 27733 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 6) | 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 2) | 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 27733 a prime number?
Yes. 27733 is divisible only by 1 and itself.
What are the factors of 27733?
1, 27733.
What is 27733 in binary?
110110001010101 (hexadecimal 6C55, octal 66125).
What is the square root of 27733?
About 166.5323.
Is 27733 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27733?
27733 is the 3023rd prime number.