The number 14006
14006 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 149. Divisors (8): 1, 2, 47, 94, 149, 298, 7003, 14006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14006 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 14006 itself that is 7594, so 14006 is deficient (7594 is less than 14006). Euler's totient φ(14006) = 6808 numbers up to 14006 share no factor with it.
- 4
The digits of 14006 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14006 = 2 \times 47 \times 149 \]
14006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 6808 |
| Square | 196168036 |
| Cube | 2747529512216 |
| Square root | 118.346948 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4006 × |
14006 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and six |
| Binary (base 2) | 11011010110110 |
| Octal (base 8) | 33266 |
| Hexadecimal (base 16) | 36B6 |
| Base 3 | 201012202 |
| As time | 14006 seconds = 3 h 53 min 26 s |
Is 14006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14006 ÷ 2 = 7003) | 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 1) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 14006 a prime number?
No. 14006 = 2 × 47 × 149, so it is divisible by 2.
What are the factors of 14006?
1, 2, 47, 94, 149, 298, 7003, 14006.
What is 14006 in binary?
11011010110110 (hexadecimal 36B6, octal 33266).
What is the square root of 14006?
About 118.3469.
Is 14006 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14006?
It is a composite number with 8 divisors.