The number 14024
14024 is a composite number with 8 divisors. Its prime factorisation is × 1753. Divisors (8): 1, 2, 4, 8, 1753, 3506, 7012, 14024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14024 is composite. Its prime factorisation is
- 3
The divisors add up to 26310; without 14024 itself that is 12286, so 14024 is deficient (12286 is less than 14024). Euler's totient φ(14024) = 7008 numbers up to 14024 share no factor with it.
- 4
The digits of 14024 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14024 = 2^{3} \times 1753 \]14024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26310 |
| Euler totient φ(n) | 7008 |
| Square | 196672576 |
| Cube | 2758136205824 |
| Square root | 118.422971 (= 2√3506) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4024 × |
14024 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twenty-four |
| Binary (base 2) | 11011011001000 |
| Octal (base 8) | 33310 |
| Hexadecimal (base 16) | 36C8 |
| Base 3 | 201020102 |
| As time | 14024 seconds = 3 h 53 min 44 s |
Is 14024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14024 ÷ 2 = 7012) | 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 (14024 ÷ 4 = 3506) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (14024 ÷ 8 = 1753) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 14024 a prime number?
No. 14024 = × 1753, so it is divisible by 2.
What are the factors of 14024?
1, 2, 4, 8, 1753, 3506, 7012, 14024.
What is 14024 in binary?
11011011001000 (hexadecimal 36C8, octal 33310).
What is the square root of 14024?
About 118.4230, exactly 2√3506.
Is 14024 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14024?
It is a composite number with 8 divisors.