The number 55333
55333 is a twin prime (55331 and 55333 are both prime) and the 5619th prime number. Its only divisors are 1 and 55333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55333: a twin prime (55331 and 55333 are both prime); the 5619th prime number.
- 2
55333 is prime, so its only factors are 1 and 55333. It is the 5619th prime; the next prime is 55337 and the one before is 55331.
- 3
The divisors add up to 55334; without 55333 itself that is 1, so 55333 is deficient (1 is less than 55333). Euler's totient φ(55333) = 55332 numbers up to 55333 share no factor with it.
- 4
The digits of 55333 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55333 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55334 |
| Euler totient φ(n) | 55332 |
| Square | 3061740889 |
| Cube | 169415308611037 |
| Square root | 235.229675 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5333 × |
55333 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirty-three |
| Binary (base 2) | 1101100000100101 |
| Octal (base 8) | 154045 |
| Hexadecimal (base 16) | D825 |
| Base 3 | 2210220101 |
| As time | 55333 seconds = 15 h 22 min 13 s |
Is 55333 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 1) | 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 55333 a prime number?
Yes. 55333 is divisible only by 1 and itself.
What are the factors of 55333?
1, 55333.
What is 55333 in binary?
1101100000100101 (hexadecimal D825, octal 154045).
What is the square root of 55333?
About 235.2297.
Is 55333 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55333?
55333 is a twin prime (55331 and 55333 are both prime); the 5619th prime number.