The number 14224
14224 is a composite number with 20 divisors. Its prime factorisation is × 7 × 127. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 127, 254, 508, 889, 1016, 1778 … 14224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14224 is composite. Its prime factorisation is
- 3
The divisors add up to 31744; without 14224 itself that is 17520, so 14224 is abundant (17520 is more than 14224). Euler's totient φ(14224) = 6048 numbers up to 14224 share no factor with it.
- 4
The digits of 14224 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14224 = 2^{4} \times 7 \times 127 \]14224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 31744 |
| Euler totient φ(n) | 6048 |
| Square | 202322176 |
| Cube | 2877830631424 |
| Square root | 119.264412 (= 4√889) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4224 × |
14224 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred and twenty-four |
| Binary (base 2) | 11011110010000 |
| Octal (base 8) | 33620 |
| Hexadecimal (base 16) | 3790 |
| Base 3 | 201111211 |
| As time | 14224 seconds = 3 h 57 min 4 s |
Is 14224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14224 ÷ 2 = 7112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14224 ÷ 4 = 3556) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14224 ÷ 7 = 2032) | 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 (14224 ÷ 8 = 1778) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14224 a prime number?
No. 14224 = × 7 × 127, so it is divisible by 2.
What are the factors of 14224?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 127, 254, 508, 889, 1016, 1778, 2032, 3556, 7112, 14224.
What is 14224 in binary?
11011110010000 (hexadecimal 3790, octal 33620).
What is the square root of 14224?
About 119.2644, exactly 4√889.
Is 14224 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14224?
It is a composite number with 20 divisors.