The number 8713
8713 is the 1086th prime number. Its only divisors are 1 and 8713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8713: the 1086th prime number.
- 2
8713 is prime, so its only factors are 1 and 8713. It is the 1086th prime; the next prime is 8719 and the one before is 8707.
- 3
The divisors add up to 8714; without 8713 itself that is 1, so 8713 is deficient (1 is less than 8713). Euler's totient φ(8713) = 8712 numbers up to 8713 share no factor with it.
- 4
The digits of 8713 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 140 steps to reach 1.
8713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8714 |
| Euler totient φ(n) | 8712 |
| Square | 75916369 |
| Cube | 661459323097 |
| Square root | 93.343452 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.713 × |
8713 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and thirteen |
| Binary (base 2) | 10001000001001 |
| Octal (base 8) | 21011 |
| Hexadecimal (base 16) | 2209 |
| Base 3 | 102221201 |
| As time | 8713 seconds = 2 h 25 min 13 s |
Is 8713 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 1) | 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 1) | 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 8713 a prime number?
Yes. 8713 is divisible only by 1 and itself.
What are the factors of 8713?
1, 8713.
What is 8713 in binary?
10001000001001 (hexadecimal 2209, octal 21011).
What is the square root of 8713?
About 93.3435.
Is 8713 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8713?
8713 is the 1086th prime number.