The number 55733
55733 is the 5657th prime number. Its only divisors are 1 and 55733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55733: the 5657th prime number.
- 2
55733 is prime, so its only factors are 1 and 55733. It is the 5657th prime; the next prime is 55763 and the one before is 55721.
- 3
The divisors add up to 55734; without 55733 itself that is 1, so 55733 is deficient (1 is less than 55733). Euler's totient φ(55733) = 55732 numbers up to 55733 share no factor with it.
- 4
The digits of 55733 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55734 |
| Euler totient φ(n) | 55732 |
| Square | 3106167289 |
| Cube | 173116021517837 |
| Square root | 236.078377 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5733 × |
55733 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirty-three |
| Binary (base 2) | 1101100110110101 |
| Octal (base 8) | 154665 |
| Hexadecimal (base 16) | D9B5 |
| Base 3 | 2211110012 |
| As time | 55733 seconds = 15 h 28 min 53 s |
Is 55733 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 3) | 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 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 5) | 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 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 55733 a prime number?
Yes. 55733 is divisible only by 1 and itself.
What are the factors of 55733?
1, 55733.
What is 55733 in binary?
1101100110110101 (hexadecimal D9B5, octal 154665).
What is the square root of 55733?
About 236.0784.
Is 55733 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55733?
55733 is the 5657th prime number.