The number 32564
32564 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1163. Divisors (12): 1, 2, 4, 7, 14, 28, 1163, 2326, 4652, 8141, 16282, 32564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32564 is composite. Its prime factorisation is
- 3
The divisors add up to 65184; without 32564 itself that is 32620, so 32564 is abundant (32620 is more than 32564). Euler's totient φ(32564) = 13944 numbers up to 32564 share no factor with it.
- 4
The digits of 32564 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32564 = 2^{2} \times 7 \times 1163 \]32564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65184 |
| Euler totient φ(n) | 13944 |
| Square | 1060414096 |
| Cube | 34531324622144 |
| Square root | 180.454981 (= 2√8141) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2564 × |
32564 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand five hundred and sixty-four |
| Binary (base 2) | 111111100110100 |
| Octal (base 8) | 77464 |
| Hexadecimal (base 16) | 7F34 |
| Base 3 | 1122200002 |
| As time | 32564 seconds = 9 h 2 min 44 s |
Is 32564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32564 ÷ 2 = 16282) | 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 (32564 ÷ 4 = 8141) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32564 ÷ 7 = 4652) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 32564 a prime number?
No. 32564 = × 7 × 1163, so it is divisible by 2.
What are the factors of 32564?
1, 2, 4, 7, 14, 28, 1163, 2326, 4652, 8141, 16282, 32564.
What is 32564 in binary?
111111100110100 (hexadecimal 7F34, octal 77464).
What is the square root of 32564?
About 180.4550, exactly 2√8141.
Is 32564 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32564?
It is a composite number with 12 divisors.