The number 55823
55823 is the 5666th prime number. Its only divisors are 1 and 55823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55823: the 5666th prime number.
- 2
55823 is prime, so its only factors are 1 and 55823. It is the 5666th prime; the next prime is 55829 and the one before is 55819.
- 3
The divisors add up to 55824; without 55823 itself that is 1, so 55823 is deficient (1 is less than 55823). Euler's totient φ(55823) = 55822 numbers up to 55823 share no factor with it.
- 4
The digits of 55823 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 135 steps to reach 1.
55823 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55824 |
| Euler totient φ(n) | 55822 |
| Square | 3116207329 |
| Cube | 173956041726767 |
| Square root | 236.268915 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5823 × |
55823 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty-three |
| Binary (base 2) | 1101101000001111 |
| Octal (base 8) | 155017 |
| Hexadecimal (base 16) | DA0F |
| Base 3 | 2211120112 |
| As time | 55823 seconds = 15 h 30 min 23 s |
Is 55823 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 3) | 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 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55823 a prime number?
Yes. 55823 is divisible only by 1 and itself.
What are the factors of 55823?
1, 55823.
What is 55823 in binary?
1101101000001111 (hexadecimal DA0F, octal 155017).
What is the square root of 55823?
About 236.2689.
Is 55823 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55823?
55823 is the 5666th prime number.