The number 32224
32224 is a composite number with 24 divisors. Its prime factorisation is × 19 × 53. Divisors (24): 1, 2, 4, 8, 16, 19, 32, 38, 53, 76, 106, 152, 212, 304, 424, 608 … 32224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32224 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 32224 itself that is 35816, so 32224 is abundant (35816 is more than 32224). Euler's totient φ(32224) = 14976 numbers up to 32224 share no factor with it.
- 4
The digits of 32224 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32224 = 2^{5} \times 19 \times 53 \]32224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 14976 |
| Square | 1038386176 |
| Cube | 33460956135424 |
| Square root | 179.510445 (= 4√2014) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2224 × |
32224 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and twenty-four |
| Binary (base 2) | 111110111100000 |
| Octal (base 8) | 76740 |
| Hexadecimal (base 16) | 7DE0 |
| Base 3 | 1122012111 |
| As time | 32224 seconds = 8 h 57 min 4 s |
Is 32224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32224 ÷ 2 = 16112) | 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 (32224 ÷ 4 = 8056) | 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 | 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 (32224 ÷ 8 = 4028) | 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 5) | 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 32224 a prime number?
No. 32224 = × 19 × 53, so it is divisible by 2.
What are the factors of 32224?
1, 2, 4, 8, 16, 19, 32, 38, 53, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1696, 2014, 4028, 8056, 16112, 32224.
What is 32224 in binary?
111110111100000 (hexadecimal 7DE0, octal 76740).
What is the square root of 32224?
About 179.5104, exactly 4√2014.
Is 32224 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32224?
It is a composite number with 24 divisors.