The number 14424
14424 is a composite number with 16 divisors. Its prime factorisation is × 3 × 601. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 601, 1202, 1803, 2404, 3606, 4808, 7212, 14424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14424 is composite. Its prime factorisation is
- 3
The divisors add up to 36120; without 14424 itself that is 21696, so 14424 is abundant (21696 is more than 14424). Euler's totient φ(14424) = 4800 numbers up to 14424 share no factor with it.
- 4
The digits of 14424 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14424 = 2^{3} \times 3 \times 601 \]14424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36120 |
| Euler totient φ(n) | 4800 |
| Square | 208051776 |
| Cube | 3000938817024 |
| Square root | 120.099958 (= 2√3606) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.4424 × |
14424 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and twenty-four |
| Binary (base 2) | 11100001011000 |
| Octal (base 8) | 34130 |
| Hexadecimal (base 16) | 3858 |
| Base 3 | 201210020 |
| As time | 14424 seconds = 4 h 0 min 24 s |
Is 14424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14424 ÷ 2 = 7212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14424 ÷ 3 = 4808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14424 ÷ 4 = 3606) | 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 | Yes (14424 ÷ 6 = 2404) | 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 | Yes (14424 ÷ 8 = 1803) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14424 ÷ 12 = 1202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14424 a prime number?
No. 14424 = × 3 × 601, so it is divisible by 2.
What are the factors of 14424?
1, 2, 3, 4, 6, 8, 12, 24, 601, 1202, 1803, 2404, 3606, 4808, 7212, 14424.
What is 14424 in binary?
11100001011000 (hexadecimal 3858, octal 34130).
What is the square root of 14424?
About 120.1000, exactly 2√3606.
Is 14424 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 14424?
It is a composite number with 16 divisors.