The number 32088
32088 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 191. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 32088.
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How to work it out
- 1
What is special about 32088: a Harshad number: divisible by its digit sum 21.
- 2
32088 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 32088 itself that is 60072, so 32088 is abundant (60072 is more than 32088). Euler's totient φ(32088) = 9120 numbers up to 32088 share no factor with it.
- 4
The digits of 32088 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32088 = 2^{3} \times 3 \times 7 \times 191 \]32088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 9120 |
| Square | 1029639744 |
| Cube | 33039080105472 |
| Square root | 179.131237 (= 2√8022) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.2088 × |
32088 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and eighty-eight |
| Binary (base 2) | 111110101011000 |
| Octal (base 8) | 76530 |
| Hexadecimal (base 16) | 7D58 |
| Base 3 | 1122000110 |
| As time | 32088 seconds = 8 h 54 min 48 s |
Is 32088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32088 ÷ 2 = 16044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32088 ÷ 3 = 10696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32088 ÷ 4 = 8022) | 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 | Yes (32088 ÷ 6 = 5348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32088 ÷ 7 = 4584) | 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 (32088 ÷ 8 = 4011) | 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 8) | 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 | Yes (32088 ÷ 12 = 2674) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32088 a prime number?
No. 32088 = × 3 × 7 × 191, so it is divisible by 2.
What are the factors of 32088?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 191, 382, 573, 764, 1146, 1337, 1528, 2292, 2674, 4011, 4584, 5348, 8022, 10696, 16044, 32088.
What is 32088 in binary?
111110101011000 (hexadecimal 7D58, octal 76530).
What is the square root of 32088?
About 179.1312, exactly 2√8022.
Is 32088 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32088?
32088 is a Harshad number: divisible by its digit sum 21.