The number 14007
14007 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 23 × 29. Divisors (16): 1, 3, 7, 21, 23, 29, 69, 87, 161, 203, 483, 609, 667, 2001, 4669, 14007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14007 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 14007 itself that is 9033, so 14007 is deficient (9033 is less than 14007). Euler's totient φ(14007) = 7392 numbers up to 14007 share no factor with it.
- 4
The digits of 14007 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14007 = 3 \times 7 \times 23 \times 29 \]
14007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 7392 |
| Square | 196196049 |
| Cube | 2748118058343 |
| Square root | 118.351172 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4007 × |
14007 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and seven |
| Binary (base 2) | 11011010110111 |
| Octal (base 8) | 33267 |
| Hexadecimal (base 16) | 36B7 |
| Base 3 | 201012210 |
| As time | 14007 seconds = 3 h 53 min 27 s |
Is 14007 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 (14007 ÷ 3 = 4669) | 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 | Yes (14007 ÷ 7 = 2001) | 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 7) | 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 14007 a prime number?
No. 14007 = 3 × 7 × 23 × 29, so it is divisible by 3.
What are the factors of 14007?
1, 3, 7, 21, 23, 29, 69, 87, 161, 203, 483, 609, 667, 2001, 4669, 14007.
What is 14007 in binary?
11011010110111 (hexadecimal 36B7, octal 33267).
What is the square root of 14007?
About 118.3512.
Is 14007 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 14007?
It is a composite number with 16 divisors.