The number 55849
55849 is the 5670th prime number. Its only divisors are 1 and 55849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55849: the 5670th prime number.
- 2
55849 is prime, so its only factors are 1 and 55849. It is the 5670th prime; the next prime is 55871 and the one before is 55843.
- 3
The divisors add up to 55850; without 55849 itself that is 1, so 55849 is deficient (1 is less than 55849). Euler's totient φ(55849) = 55848 numbers up to 55849 share no factor with it.
- 4
The digits of 55849 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
55849 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55850 |
| Euler totient φ(n) | 55848 |
| Square | 3119110801 |
| Cube | 174199219125049 |
| Square root | 236.323930 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5849 × |
55849 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and forty-nine |
| Binary (base 2) | 1101101000101001 |
| Octal (base 8) | 155051 |
| Hexadecimal (base 16) | DA29 |
| Base 3 | 2211121111 |
| As time | 55849 seconds = 15 h 30 min 49 s |
Is 55849 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 4) | 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 3) | 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 1) | 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 9) | 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 55849 a prime number?
Yes. 55849 is divisible only by 1 and itself.
What are the factors of 55849?
1, 55849.
What is 55849 in binary?
1101101000101001 (hexadecimal DA29, octal 155051).
What is the square root of 55849?
About 236.3239.
Is 55849 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 55849?
55849 is the 5670th prime number.