The number 12014
12014 is a composite number with 4 divisors. Its prime factorisation is 2 × 6007. Divisors (4): 1, 2, 6007, 12014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12014: a semiprime: 2 × 6007, the product of two primes.
- 2
12014 is composite. Its prime factorisation is
- 3
The divisors add up to 18024; without 12014 itself that is 6010, so 12014 is deficient (6010 is less than 12014). Euler's totient φ(12014) = 6006 numbers up to 12014 share no factor with it.
- 4
The digits of 12014 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12014 = 2 \times 6007 \]
12014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18024 |
| Euler totient φ(n) | 6006 |
| Square | 144336196 |
| Cube | 1734055058744 |
| Square root | 109.608394 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2014 × |
12014 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and fourteen |
| Binary (base 2) | 10111011101110 |
| Octal (base 8) | 27356 |
| Hexadecimal (base 16) | 2EEE |
| Base 3 | 121110222 |
| As time | 12014 seconds = 3 h 20 min 14 s |
Is 12014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12014 ÷ 2 = 6007) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12014 a prime number?
No. 12014 = 2 × 6007, so it is divisible by 2.
What are the factors of 12014?
1, 2, 6007, 12014.
What is 12014 in binary?
10111011101110 (hexadecimal 2EEE, octal 27356).
What is the square root of 12014?
About 109.6084.
Is 12014 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12014?
12014 is a semiprime: 2 × 6007, the product of two primes.