The number 16224
16224 is a composite number with 36 divisors. Its prime factorisation is × 3 × . Divisors (36): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78 … 16224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16224 is composite. Its prime factorisation is
- 3
The divisors add up to 46116; without 16224 itself that is 29892, so 16224 is abundant (29892 is more than 16224). Euler's totient φ(16224) = 4992 numbers up to 16224 share no factor with it.
- 4
The digits of 16224 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16224 = 2^{5} \times 3 \times 13^{2} \]16224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 46116 |
| Euler totient φ(n) | 4992 |
| Square | 263218176 |
| Cube | 4270451687424 |
| Square root | 127.373467 (= 52√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6224 × |
16224 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and twenty-four |
| Binary (base 2) | 11111101100000 |
| Octal (base 8) | 37540 |
| Hexadecimal (base 16) | 3F60 |
| Base 3 | 211020220 |
| As time | 16224 seconds = 4 h 30 min 24 s |
Is 16224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16224 ÷ 2 = 8112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16224 ÷ 3 = 5408) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16224 ÷ 4 = 4056) | 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 (16224 ÷ 6 = 2704) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (16224 ÷ 8 = 2028) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16224 ÷ 12 = 1352) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16224 a prime number?
No. 16224 = × 3 × , so it is divisible by 2.
What are the factors of 16224?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 169, 208, 312, 338, 416, 507, 624, 676, 1014, 1248, 1352, 2028, 2704, 4056, 5408, 8112, 16224.
What is 16224 in binary?
11111101100000 (hexadecimal 3F60, octal 37540).
What is the square root of 16224?
About 127.3735, exactly 52√6.
Is 16224 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16224?
It is a composite number with 36 divisors.