The number 32288
32288 is a composite number with 12 divisors. Its prime factorisation is × 1009. Divisors (12): 1, 2, 4, 8, 16, 32, 1009, 2018, 4036, 8072, 16144, 32288.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32288 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32288 is composite. Its prime factorisation is
- 3
The divisors add up to 63630; without 32288 itself that is 31342, so 32288 is deficient (31342 is less than 32288). Euler's totient φ(32288) = 16128 numbers up to 32288 share no factor with it.
- 4
The digits of 32288 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32288 = 2^{5} \times 1009 \]32288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63630 |
| Euler totient φ(n) | 16128 |
| Square | 1042514944 |
| Cube | 33660722511872 |
| Square root | 179.688620 (= 4√2018) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2288 × |
32288 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and eighty-eight |
| Binary (base 2) | 111111000100000 |
| Octal (base 8) | 77040 |
| Hexadecimal (base 16) | 7E20 |
| Base 3 | 1122021212 |
| As time | 32288 seconds = 8 h 58 min 8 s |
Is 32288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32288 ÷ 2 = 16144) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32288 ÷ 4 = 8072) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (32288 ÷ 8 = 4036) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32288 a prime number?
No. 32288 = × 1009, so it is divisible by 2.
What are the factors of 32288?
1, 2, 4, 8, 16, 32, 1009, 2018, 4036, 8072, 16144, 32288.
What is 32288 in binary?
111111000100000 (hexadecimal 7E20, octal 77040).
What is the square root of 32288?
About 179.6886, exactly 4√2018.
Is 32288 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32288?
It is a composite number with 12 divisors.