The number 8087
8087 is a twin prime (8087 and 8089 are both prime) and the 1016th prime number. Its only divisors are 1 and 8087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8087: a twin prime (8087 and 8089 are both prime); the 1016th prime number.
- 2
8087 is prime, so its only factors are 1 and 8087. It is the 1016th prime; the next prime is 8089 and the one before is 8081.
- 3
The divisors add up to 8088; without 8087 itself that is 1, so 8087 is deficient (1 is less than 8087). Euler's totient φ(8087) = 8086 numbers up to 8087 share no factor with it.
- 4
The digits of 8087 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 26 steps to reach 1.
8087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8088 |
| Euler totient φ(n) | 8086 |
| Square | 65399569 |
| Cube | 528886314503 |
| Square root | 89.927749 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 26 |
| Scientific notation | 8.087 × |
8087 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighty-seven |
| Binary (base 2) | 1111110010111 |
| Octal (base 8) | 17627 |
| Hexadecimal (base 16) | 1F97 |
| Base 3 | 102002112 |
| As time | 8087 seconds = 2 h 14 min 47 s |
Is 8087 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 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 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 7) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8087 a prime number?
Yes. 8087 is divisible only by 1 and itself.
What are the factors of 8087?
1, 8087.
What is 8087 in binary?
1111110010111 (hexadecimal 1F97, octal 17627).
What is the square root of 8087?
About 89.9277.
Is 8087 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8087?
8087 is a twin prime (8087 and 8089 are both prime); the 1016th prime number.