The number 14067
14067 is a composite number with 8 divisors. Its prime factorisation is × 521. Divisors (8): 1, 3, 9, 27, 521, 1563, 4689, 14067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14067 is composite. Its prime factorisation is
- 3
The divisors add up to 20880; without 14067 itself that is 6813, so 14067 is deficient (6813 is less than 14067). Euler's totient φ(14067) = 9360 numbers up to 14067 share no factor with it.
- 4
The digits of 14067 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14067 = 3^{3} \times 521 \]14067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20880 |
| Euler totient φ(n) | 9360 |
| Square | 197880489 |
| Cube | 2783584838763 |
| Square root | 118.604384 (= 3√1563) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.4067 × |
14067 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and sixty-seven |
| Binary (base 2) | 11011011110011 |
| Octal (base 8) | 33363 |
| Hexadecimal (base 16) | 36F3 |
| Base 3 | 201022000 |
| As time | 14067 seconds = 3 h 54 min 27 s |
Is 14067 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 (14067 ÷ 3 = 4689) | 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 4) | 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 (14067 ÷ 9 = 1563) | 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 9) | 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 14067 a prime number?
No. 14067 = × 521, so it is divisible by 3.
What are the factors of 14067?
1, 3, 9, 27, 521, 1563, 4689, 14067.
What is 14067 in binary?
11011011110011 (hexadecimal 36F3, octal 33363).
What is the square root of 14067?
About 118.6044, exactly 3√1563.
Is 14067 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14067?
It is a composite number with 8 divisors.