The number 32064
32064 is a composite number with 28 divisors. Its prime factorisation is × 3 × 167. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 167, 192, 334 … 32064.
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How to work it out
- 1
32064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32064 is composite. Its prime factorisation is
- 3
The divisors add up to 85344; without 32064 itself that is 53280, so 32064 is abundant (53280 is more than 32064). Euler's totient φ(32064) = 10624 numbers up to 32064 share no factor with it.
- 4
The digits of 32064 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32064 = 2^{6} \times 3 \times 167 \]32064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 85344 |
| Euler totient φ(n) | 10624 |
| Square | 1028100096 |
| Cube | 32965001478144 |
| Square root | 179.064234 (= 8√501) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2064 × |
32064 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and sixty-four |
| Binary (base 2) | 111110101000000 |
| Octal (base 8) | 76500 |
| Hexadecimal (base 16) | 7D40 |
| Base 3 | 1121222120 |
| As time | 32064 seconds = 8 h 54 min 24 s |
Is 32064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32064 ÷ 2 = 16032) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32064 ÷ 3 = 10688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32064 ÷ 4 = 8016) | 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 (32064 ÷ 6 = 5344) | 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 (32064 ÷ 8 = 4008) | 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 (32064 ÷ 12 = 2672) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32064 a prime number?
No. 32064 = × 3 × 167, so it is divisible by 2.
What are the factors of 32064?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 167, 192, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 5344, 8016, 10688, 16032, 32064.
What is 32064 in binary?
111110101000000 (hexadecimal 7D40, octal 76500).
What is the square root of 32064?
About 179.0642, exactly 8√501.
Is 32064 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32064?
It is a composite number with 28 divisors.