The number 53813
53813 is the 5482nd prime number. Its only divisors are 1 and 53813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53813: the 5482nd prime number.
- 2
53813 is prime, so its only factors are 1 and 53813. It is the 5482nd prime; the next prime is 53819 and the one before is 53791.
- 3
The divisors add up to 53814; without 53813 itself that is 1, so 53813 is deficient (1 is less than 53813). Euler's totient φ(53813) = 53812 numbers up to 53813 share no factor with it.
- 4
The digits of 53813 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
53813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53814 |
| Euler totient φ(n) | 53812 |
| Square | 2895838969 |
| Cube | 155833782438797 |
| Square root | 231.976292 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3813 × |
53813 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and thirteen |
| Binary (base 2) | 1101001000110101 |
| Octal (base 8) | 151065 |
| Hexadecimal (base 16) | D235 |
| Base 3 | 2201211002 |
| As time | 53813 seconds = 14 h 56 min 53 s |
Is 53813 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 53813 a prime number?
Yes. 53813 is divisible only by 1 and itself.
What are the factors of 53813?
1, 53813.
What is 53813 in binary?
1101001000110101 (hexadecimal D235, octal 151065).
What is the square root of 53813?
About 231.9763.
Is 53813 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53813?
53813 is the 5482nd prime number.