The number 14012
14012 is a composite number with 12 divisors. Its prime factorisation is × 31 × 113. Divisors (12): 1, 2, 4, 31, 62, 113, 124, 226, 452, 3503, 7006, 14012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14012 is composite. Its prime factorisation is
- 3
The divisors add up to 25536; without 14012 itself that is 11524, so 14012 is deficient (11524 is less than 14012). Euler's totient φ(14012) = 6720 numbers up to 14012 share no factor with it.
- 4
The digits of 14012 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14012 = 2^{2} \times 31 \times 113 \]14012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25536 |
| Euler totient φ(n) | 6720 |
| Square | 196336144 |
| Cube | 2751062049728 |
| Square root | 118.372294 (= 2√3503) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.4012 × |
14012 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twelve |
| Binary (base 2) | 11011010111100 |
| Octal (base 8) | 33274 |
| Hexadecimal (base 16) | 36BC |
| Base 3 | 201012222 |
| As time | 14012 seconds = 3 h 53 min 32 s |
Is 14012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14012 ÷ 2 = 7006) | 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 | Yes (14012 ÷ 4 = 3503) | 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 2) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14012 a prime number?
No. 14012 = × 31 × 113, so it is divisible by 2.
What are the factors of 14012?
1, 2, 4, 31, 62, 113, 124, 226, 452, 3503, 7006, 14012.
What is 14012 in binary?
11011010111100 (hexadecimal 36BC, octal 33274).
What is the square root of 14012?
About 118.3723, exactly 2√3503.
Is 14012 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 14012?
It is a composite number with 12 divisors.