The number 4224
4224 is a palindrome: it reads 4224 backwards too. Its prime factorisation is × 3 × 11. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64 … 4224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4224: a palindrome: it reads 4224 backwards too; a Harshad number: divisible by its digit sum 12.
- 2
4224 is composite. Its prime factorisation is
- 3
The divisors add up to 12240; without 4224 itself that is 8016, so 4224 is abundant (8016 is more than 4224). Euler's totient φ(4224) = 1280 numbers up to 4224 share no factor with it.
- 4
The digits of 4224 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4224 = 2^{7} \times 3 \times 11 \]4224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 12240 |
| Euler totient φ(n) | 1280 |
| Square | 17842176 |
| Cube | 75365351424 |
| Square root | 64.992307 (= 8√66) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.224 × |
4224 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and twenty-four |
| Binary (base 2) | 1000010000000 |
| Octal (base 8) | 10200 |
| Hexadecimal (base 16) | 1080 |
| Base 3 | 12210110 |
| As time | 4224 seconds = 1 h 10 min 24 s |
Is 4224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4224 ÷ 2 = 2112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4224 ÷ 3 = 1408) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4224 ÷ 4 = 1056) | 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 (4224 ÷ 6 = 704) | 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 (4224 ÷ 8 = 528) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (4224 ÷ 11 = 384) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4224 ÷ 12 = 352) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4224 a prime number?
No. 4224 = × 3 × 11, so it is divisible by 2.
What are the factors of 4224?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224.
What is 4224 in binary?
1000010000000 (hexadecimal 1080, octal 10200).
What is the square root of 4224?
About 64.9923, exactly 8√66.
Is 4224 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4224?
4224 is a palindrome: it reads 4224 backwards too; a Harshad number: divisible by its digit sum 12.