The number 32664
32664 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1361. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1361, 2722, 4083, 5444, 8166, 10888, 16332, 32664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32664 is composite. Its prime factorisation is
- 3
The divisors add up to 81720; without 32664 itself that is 49056, so 32664 is abundant (49056 is more than 32664). Euler's totient φ(32664) = 10880 numbers up to 32664 share no factor with it.
- 4
The digits of 32664 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32664 = 2^{3} \times 3 \times 1361 \]32664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81720 |
| Euler totient φ(n) | 10880 |
| Square | 1066936896 |
| Cube | 34850426770944 |
| Square root | 180.731846 (= 2√8166) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2664 × |
32664 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and sixty-four |
| Binary (base 2) | 111111110011000 |
| Octal (base 8) | 77630 |
| Hexadecimal (base 16) | 7F98 |
| Base 3 | 1122210210 |
| As time | 32664 seconds = 9 h 4 min 24 s |
Is 32664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32664 ÷ 2 = 16332) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32664 ÷ 3 = 10888) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32664 ÷ 4 = 8166) | 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 (32664 ÷ 6 = 5444) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (32664 ÷ 8 = 4083) | 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 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 | Yes (32664 ÷ 12 = 2722) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32664 a prime number?
No. 32664 = × 3 × 1361, so it is divisible by 2.
What are the factors of 32664?
1, 2, 3, 4, 6, 8, 12, 24, 1361, 2722, 4083, 5444, 8166, 10888, 16332, 32664.
What is 32664 in binary?
111111110011000 (hexadecimal 7F98, octal 77630).
What is the square root of 32664?
About 180.7318, exactly 2√8166.
Is 32664 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32664?
It is a composite number with 16 divisors.