The number 5849
5849 is a twin prime (5849 and 5851 are both prime) and the 768th prime number. Its only divisors are 1 and 5849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5849: a twin prime (5849 and 5851 are both prime); the 768th prime number.
- 2
5849 is prime, so its only factors are 1 and 5849. It is the 768th prime; the next prime is 5851 and the one before is 5843.
- 3
The divisors add up to 5850; without 5849 itself that is 1, so 5849 is deficient (1 is less than 5849). Euler's totient φ(5849) = 5848 numbers up to 5849 share no factor with it.
- 4
The digits of 5849 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
5849 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5850 |
| Euler totient φ(n) | 5848 |
| Square | 34210801 |
| Cube | 200098975049 |
| Square root | 76.478755 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.849 × |
5849 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and forty-nine |
| Binary (base 2) | 1011011011001 |
| Octal (base 8) | 13331 |
| Hexadecimal (base 16) | 16D9 |
| Base 3 | 22000122 |
| As time | 5849 seconds = 1 h 37 min 29 s |
Is 5849 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 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | 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 5849 a prime number?
Yes. 5849 is divisible only by 1 and itself.
What are the factors of 5849?
1, 5849.
What is 5849 in binary?
1011011011001 (hexadecimal 16D9, octal 13331).
What is the square root of 5849?
About 76.4788.
Is 5849 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 5849?
5849 is a twin prime (5849 and 5851 are both prime); the 768th prime number.