The number 8999
8999 is a twin prime (8999 and 9001 are both prime) and the 1117th prime number. Its only divisors are 1 and 8999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8999: a twin prime (8999 and 9001 are both prime); the 1117th prime number.
- 2
8999 is prime, so its only factors are 1 and 8999. It is the 1117th prime; the next prime is 9001 and the one before is 8971.
- 3
The divisors add up to 9000; without 8999 itself that is 1, so 8999 is deficient (1 is less than 8999). Euler's totient φ(8999) = 8998 numbers up to 8999 share no factor with it.
- 4
The digits of 8999 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
8999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9000 |
| Euler totient φ(n) | 8998 |
| Square | 80982001 |
| Cube | 728757026999 |
| Square root | 94.863059 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 184 |
| Scientific notation | 8.999 × |
8999 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and ninety-nine |
| Binary (base 2) | 10001100100111 |
| Octal (base 8) | 21447 |
| Hexadecimal (base 16) | 2327 |
| Base 3 | 110100022 |
| As time | 8999 seconds = 2 h 29 min 59 s |
Is 8999 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 4) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 8999 a prime number?
Yes. 8999 is divisible only by 1 and itself.
What are the factors of 8999?
1, 8999.
What is 8999 in binary?
10001100100111 (hexadecimal 2327, octal 21447).
What is the square root of 8999?
About 94.8631.
Is 8999 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 8999?
8999 is a twin prime (8999 and 9001 are both prime); the 1117th prime number.