The number 5813
5813 is the 763rd prime number. Its only divisors are 1 and 5813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5813: the 763rd prime number.
- 2
5813 is prime, so its only factors are 1 and 5813. It is the 763rd prime; the next prime is 5821 and the one before is 5807.
- 3
The divisors add up to 5814; without 5813 itself that is 1, so 5813 is deficient (1 is less than 5813). Euler's totient φ(5813) = 5812 numbers up to 5813 share no factor with it.
- 4
The digits of 5813 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
5813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5814 |
| Euler totient φ(n) | 5812 |
| Square | 33790969 |
| Cube | 196426902797 |
| Square root | 76.243032 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.813 × |
5813 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and thirteen |
| Binary (base 2) | 1011010110101 |
| Octal (base 8) | 13265 |
| Hexadecimal (base 16) | 16B5 |
| Base 3 | 21222022 |
| As time | 5813 seconds = 1 h 36 min 53 s |
Is 5813 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 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 5813 a prime number?
Yes. 5813 is divisible only by 1 and itself.
What are the factors of 5813?
1, 5813.
What is 5813 in binary?
1011010110101 (hexadecimal 16B5, octal 13265).
What is the square root of 5813?
About 76.2430.
Is 5813 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5813?
5813 is the 763rd prime number.