The number 33564
33564 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2797. Divisors (12): 1, 2, 3, 4, 6, 12, 2797, 5594, 8391, 11188, 16782, 33564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33564 is composite. Its prime factorisation is
- 3
The divisors add up to 78344; without 33564 itself that is 44780, so 33564 is abundant (44780 is more than 33564). Euler's totient φ(33564) = 11184 numbers up to 33564 share no factor with it.
- 4
The digits of 33564 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
\[ 33564 = 2^{2} \times 3 \times 2797 \]33564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78344 |
| Euler totient φ(n) | 11184 |
| Square | 1126542096 |
| Cube | 37811258910144 |
| Square root | 183.204803 (= 2√8391) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3564 × |
33564 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and sixty-four |
| Binary (base 2) | 1000001100011100 |
| Octal (base 8) | 101434 |
| Hexadecimal (base 16) | 831C |
| Base 3 | 1201001010 |
| As time | 33564 seconds = 9 h 19 min 24 s |
Is 33564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33564 ÷ 2 = 16782) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33564 ÷ 3 = 11188) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33564 ÷ 4 = 8391) | 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 (33564 ÷ 6 = 5594) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33564 ÷ 12 = 2797) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33564 a prime number?
No. 33564 = × 3 × 2797, so it is divisible by 2.
What are the factors of 33564?
1, 2, 3, 4, 6, 12, 2797, 5594, 8391, 11188, 16782, 33564.
What is 33564 in binary?
1000001100011100 (hexadecimal 831C, octal 101434).
What is the square root of 33564?
About 183.2048, exactly 2√8391.
Is 33564 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33564?
It is a composite number with 12 divisors.