The number 55813
55813 is the 5663rd prime number. Its only divisors are 1 and 55813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55813: the 5663rd prime number.
- 2
55813 is prime, so its only factors are 1 and 55813. It is the 5663rd prime; the next prime is 55817 and the one before is 55807.
- 3
The divisors add up to 55814; without 55813 itself that is 1, so 55813 is deficient (1 is less than 55813). Euler's totient φ(55813) = 55812 numbers up to 55813 share no factor with it.
- 4
The digits of 55813 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
55813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55814 |
| Euler totient φ(n) | 55812 |
| Square | 3115090969 |
| Cube | 173862572252797 |
| Square root | 236.247751 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5813 × |
55813 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and thirteen |
| Binary (base 2) | 1101101000000101 |
| Octal (base 8) | 155005 |
| Hexadecimal (base 16) | DA05 |
| Base 3 | 2211120011 |
| As time | 55813 seconds = 15 h 30 min 13 s |
Is 55813 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 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 2) | 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 4) | 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 10) | 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 55813 a prime number?
Yes. 55813 is divisible only by 1 and itself.
What are the factors of 55813?
1, 55813.
What is 55813 in binary?
1101101000000101 (hexadecimal DA05, octal 155005).
What is the square root of 55813?
About 236.2478.
Is 55813 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55813?
55813 is the 5663rd prime number.