The number 83813
83813 is the 8176th prime number. Its only divisors are 1 and 83813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83813: the 8176th prime number.
- 2
83813 is prime, so its only factors are 1 and 83813. It is the 8176th prime; the next prime is 83833 and the one before is 83791.
- 3
The divisors add up to 83814; without 83813 itself that is 1, so 83813 is deficient (1 is less than 83813). Euler's totient φ(83813) = 83812 numbers up to 83813 share no factor with it.
- 4
The digits of 83813 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
83813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83814 |
| Euler totient φ(n) | 83812 |
| Square | 7024618969 |
| Cube | 588754389648797 |
| Square root | 289.504750 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3813 × |
83813 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and thirteen |
| Binary (base 2) | 10100011101100101 |
| Octal (base 8) | 243545 |
| Hexadecimal (base 16) | 14765 |
| Base 3 | 11020222012 |
| As time | 83813 seconds = 23 h 16 min 53 s |
Is 83813 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 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 5) | 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 4) | 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 83813 a prime number?
Yes. 83813 is divisible only by 1 and itself.
What are the factors of 83813?
1, 83813.
What is 83813 in binary?
10100011101100101 (hexadecimal 14765, octal 243545).
What is the square root of 83813?
About 289.5047.
Is 83813 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83813?
83813 is the 8176th prime number.