The number 55843
55843 is the 5669th prime number. Its only divisors are 1 and 55843.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55843: the 5669th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55843 is prime, so its only factors are 1 and 55843. It is the 5669th prime; the next prime is 55849 and the one before is 55837.
- 3
The divisors add up to 55844; without 55843 itself that is 1, so 55843 is deficient (1 is less than 55843). Euler's totient φ(55843) = 55842 numbers up to 55843 share no factor with it.
- 4
The digits of 55843 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55843 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55844 |
| Euler totient φ(n) | 55842 |
| Square | 3118440649 |
| Cube | 174143081162107 |
| Square root | 236.311235 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5843 × |
55843 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and forty-three |
| Binary (base 2) | 1101101000100011 |
| Octal (base 8) | 155043 |
| Hexadecimal (base 16) | DA23 |
| Base 3 | 2211121021 |
| As time | 55843 seconds = 15 h 30 min 43 s |
Is 55843 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55843 a prime number?
Yes. 55843 is divisible only by 1 and itself.
What are the factors of 55843?
1, 55843.
What is 55843 in binary?
1101101000100011 (hexadecimal DA23, octal 155043).
What is the square root of 55843?
About 236.3112.
Is 55843 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55843?
55843 is the 5669th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.