The number 52813
52813 is the 5390th prime number. Its only divisors are 1 and 52813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52813: the 5390th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52813 is prime, so its only factors are 1 and 52813. It is the 5390th prime; the next prime is 52817 and the one before is 52807.
- 3
The divisors add up to 52814; without 52813 itself that is 1, so 52813 is deficient (1 is less than 52813). Euler's totient φ(52813) = 52812 numbers up to 52813 share no factor with it.
- 4
The digits of 52813 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
52813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52814 |
| Euler totient φ(n) | 52812 |
| Square | 2789212969 |
| Cube | 147306704531797 |
| Square root | 229.810792 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2813 × |
52813 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand eight hundred and thirteen |
| Binary (base 2) | 1100111001001101 |
| Octal (base 8) | 147115 |
| Hexadecimal (base 16) | CE4D |
| Base 3 | 2200110001 |
| As time | 52813 seconds = 14 h 40 min 13 s |
Is 52813 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 5) | 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 1) | 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 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 52813 a prime number?
Yes. 52813 is divisible only by 1 and itself.
What are the factors of 52813?
1, 52813.
What is 52813 in binary?
1100111001001101 (hexadecimal CE4D, octal 147115).
What is the square root of 52813?
About 229.8108.
Is 52813 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 52813?
52813 is the 5390th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.