The number 8067
8067 is a composite number with 4 divisors. Its prime factorisation is 3 × 2689. Divisors (4): 1, 3, 2689, 8067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8067: a semiprime: 3 × 2689, the product of two primes.
- 2
8067 is composite. Its prime factorisation is
- 3
The divisors add up to 10760; without 8067 itself that is 2693, so 8067 is deficient (2693 is less than 8067). Euler's totient φ(8067) = 5376 numbers up to 8067 share no factor with it.
- 4
The digits of 8067 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8067 = 3 \times 2689 \]
8067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10760 |
| Euler totient φ(n) | 5376 |
| Square | 65076489 |
| Cube | 524972036763 |
| Square root | 89.816480 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.067 × |
8067 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and sixty-seven |
| Binary (base 2) | 1111110000011 |
| Octal (base 8) | 17603 |
| Hexadecimal (base 16) | 1F83 |
| Base 3 | 102001210 |
| As time | 8067 seconds = 2 h 14 min 27 s |
Is 8067 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 (8067 ÷ 3 = 2689) | 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 3) | 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 3) | 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 4) | 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 8067 a prime number?
No. 8067 = 3 × 2689, so it is divisible by 3.
What are the factors of 8067?
1, 3, 2689, 8067.
What is 8067 in binary?
1111110000011 (hexadecimal 1F83, octal 17603).
What is the square root of 8067?
About 89.8165.
Is 8067 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8067?
8067 is a semiprime: 3 × 2689, the product of two primes.