The number 14003
14003 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 67. Divisors (8): 1, 11, 19, 67, 209, 737, 1273, 14003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14003 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14003 is composite. Its prime factorisation is
- 3
The divisors add up to 16320; without 14003 itself that is 2317, so 14003 is deficient (2317 is less than 14003). Euler's totient φ(14003) = 11880 numbers up to 14003 share no factor with it.
- 4
The digits of 14003 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14003 = 11 \times 19 \times 67 \]
14003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16320 |
| Euler totient φ(n) | 11880 |
| Square | 196084009 |
| Cube | 2745764378027 |
| Square root | 118.334272 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4003 × |
14003 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and three |
| Binary (base 2) | 11011010110011 |
| Octal (base 8) | 33263 |
| Hexadecimal (base 16) | 36B3 |
| Base 3 | 201012122 |
| As time | 14003 seconds = 3 h 53 min 23 s |
Is 14003 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (14003 ÷ 11 = 1273) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14003 a prime number?
No. 14003 = 11 × 19 × 67, so it is divisible by 11.
What are the factors of 14003?
1, 11, 19, 67, 209, 737, 1273, 14003.
What is 14003 in binary?
11011010110011 (hexadecimal 36B3, octal 33263).
What is the square root of 14003?
About 118.3343.
Is 14003 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 14003?
It is a composite number with 8 divisors.