The number 8089
8089 is a twin prime (8087 and 8089 are both prime) and the 1017th prime number. Its only divisors are 1 and 8089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8089: a twin prime (8087 and 8089 are both prime); the 1017th prime number.
- 2
8089 is prime, so its only factors are 1 and 8089. It is the 1017th prime; the next prime is 8093 and the one before is 8087.
- 3
The divisors add up to 8090; without 8089 itself that is 1, so 8089 is deficient (1 is less than 8089). Euler's totient φ(8089) = 8088 numbers up to 8089 share no factor with it.
- 4
The digits of 8089 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
8089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8090 |
| Euler totient φ(n) | 8088 |
| Square | 65431921 |
| Cube | 529278808969 |
| Square root | 89.938868 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 26 |
| Scientific notation | 8.089 × |
8089 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighty-nine |
| Binary (base 2) | 1111110011001 |
| Octal (base 8) | 17631 |
| Hexadecimal (base 16) | 1F99 |
| Base 3 | 102002121 |
| As time | 8089 seconds = 2 h 14 min 49 s |
Is 8089 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 4) | 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 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8089 a prime number?
Yes. 8089 is divisible only by 1 and itself.
What are the factors of 8089?
1, 8089.
What is 8089 in binary?
1111110011001 (hexadecimal 1F99, octal 17631).
What is the square root of 8089?
About 89.9389.
Is 8089 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8089?
8089 is a twin prime (8087 and 8089 are both prime); the 1017th prime number.