The number 12067
12067 is a composite number with 4 divisors. Its prime factorisation is 11 × 1097. Divisors (4): 1, 11, 1097, 12067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12067: a semiprime: 11 × 1097, the product of two primes.
- 2
12067 is composite. Its prime factorisation is
- 3
The divisors add up to 13176; without 12067 itself that is 1109, so 12067 is deficient (1109 is less than 12067). Euler's totient φ(12067) = 10960 numbers up to 12067 share no factor with it.
- 4
The digits of 12067 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12067 = 11 \times 1097 \]
12067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13176 |
| Euler totient φ(n) | 10960 |
| Square | 145612489 |
| Cube | 1757105904763 |
| Square root | 109.849898 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2067 × |
12067 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and sixty-seven |
| Binary (base 2) | 10111100100011 |
| Octal (base 8) | 27443 |
| Hexadecimal (base 16) | 2F23 |
| Base 3 | 121112221 |
| As time | 12067 seconds = 3 h 21 min 7 s |
Is 12067 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 | Yes (12067 ÷ 11 = 1097) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12067 a prime number?
No. 12067 = 11 × 1097, so it is divisible by 11.
What are the factors of 12067?
1, 11, 1097, 12067.
What is 12067 in binary?
10111100100011 (hexadecimal 2F23, octal 27443).
What is the square root of 12067?
About 109.8499.
Is 12067 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12067?
12067 is a semiprime: 11 × 1097, the product of two primes.