The number 8667
8667 is a composite number with 10 divisors. Its prime factorisation is × 107. Divisors (10): 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8667: a Harshad number: divisible by its digit sum 27.
- 2
8667 is composite. Its prime factorisation is
- 3
The divisors add up to 13068; without 8667 itself that is 4401, so 8667 is deficient (4401 is less than 8667). Euler's totient φ(8667) = 5724 numbers up to 8667 share no factor with it.
- 4
The digits of 8667 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8667 = 3^{4} \times 107 \]8667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 13068 |
| Euler totient φ(n) | 5724 |
| Square | 75116889 |
| Cube | 651038076963 |
| Square root | 93.096724 (= 9√107) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.667 × |
8667 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and sixty-seven |
| Binary (base 2) | 10000111011011 |
| Octal (base 8) | 20733 |
| Hexadecimal (base 16) | 21DB |
| Base 3 | 102220000 |
| As time | 8667 seconds = 2 h 24 min 27 s |
Is 8667 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 | Yes (8667 ÷ 3 = 2889) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (8667 ÷ 9 = 963) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8667 a prime number?
No. 8667 = × 107, so it is divisible by 3.
What are the factors of 8667?
1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667.
What is 8667 in binary?
10000111011011 (hexadecimal 21DB, octal 20733).
What is the square root of 8667?
About 93.0967, exactly 9√107.
Is 8667 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8667?
8667 is a Harshad number: divisible by its digit sum 27.