The number 8707
8707 is the 1085th prime number. Its only divisors are 1 and 8707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8707: the 1085th prime number.
- 2
8707 is prime, so its only factors are 1 and 8707. It is the 1085th prime; the next prime is 8713 and the one before is 8699.
- 3
The divisors add up to 8708; without 8707 itself that is 1, so 8707 is deficient (1 is less than 8707). Euler's totient φ(8707) = 8706 numbers up to 8707 share no factor with it.
- 4
The digits of 8707 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 140 steps to reach 1.
8707 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8708 |
| Euler totient φ(n) | 8706 |
| Square | 75811849 |
| Cube | 660093769243 |
| Square root | 93.311307 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.707 × |
8707 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and seven |
| Binary (base 2) | 10001000000011 |
| Octal (base 8) | 21003 |
| Hexadecimal (base 16) | 2203 |
| Base 3 | 102221111 |
| As time | 8707 seconds = 2 h 25 min 7 s |
Is 8707 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8707 a prime number?
Yes. 8707 is divisible only by 1 and itself.
What are the factors of 8707?
1, 8707.
What is 8707 in binary?
10001000000011 (hexadecimal 2203, octal 21003).
What is the square root of 8707?
About 93.3113.
Is 8707 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 8707?
8707 is the 1085th prime number.