The number 8867
8867 is the 1106th prime number. Its only divisors are 1 and 8867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8867: the 1106th prime number.
- 2
8867 is prime, so its only factors are 1 and 8867. It is the 1106th prime; the next prime is 8887 and the one before is 8863.
- 3
The divisors add up to 8868; without 8867 itself that is 1, so 8867 is deficient (1 is less than 8867). Euler's totient φ(8867) = 8866 numbers up to 8867 share no factor with it.
- 4
The digits of 8867 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
8867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8868 |
| Euler totient φ(n) | 8866 |
| Square | 78623689 |
| Cube | 697156250363 |
| Square root | 94.164749 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.867 × |
8867 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and sixty-seven |
| Binary (base 2) | 10001010100011 |
| Octal (base 8) | 21243 |
| Hexadecimal (base 16) | 22A3 |
| Base 3 | 110011102 |
| As time | 8867 seconds = 2 h 27 min 47 s |
Is 8867 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 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 8867 a prime number?
Yes. 8867 is divisible only by 1 and itself.
What are the factors of 8867?
1, 8867.
What is 8867 in binary?
10001010100011 (hexadecimal 22A3, octal 21243).
What is the square root of 8867?
About 94.1647.
Is 8867 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 8867?
8867 is the 1106th prime number.