The number 33565
33565 is a composite number with 12 divisors. Its prime factorisation is 5 × × 137. Divisors (12): 1, 5, 7, 35, 49, 137, 245, 685, 959, 4795, 6713, 33565.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33565 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33565 is composite. Its prime factorisation is
- 3
The divisors add up to 47196; without 33565 itself that is 13631, so 33565 is deficient (13631 is less than 33565). Euler's totient φ(33565) = 22848 numbers up to 33565 share no factor with it.
- 4
The digits of 33565 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33565 = 5 \times 7^{2} \times 137 \]33565 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47196 |
| Euler totient φ(n) | 22848 |
| Square | 1126609225 |
| Cube | 37814638637125 |
| Square root | 183.207533 (= 7√685) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3565 × |
33565 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and sixty-five |
| Binary (base 2) | 1000001100011101 |
| Octal (base 8) | 101435 |
| Hexadecimal (base 16) | 831D |
| Base 3 | 1201001011 |
| As time | 33565 seconds = 9 h 19 min 25 s |
Is 33565 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33565 ÷ 5 = 6713) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33565 ÷ 7 = 4795) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33565 a prime number?
No. 33565 = 5 × × 137, so it is divisible by 5.
What are the factors of 33565?
1, 5, 7, 35, 49, 137, 245, 685, 959, 4795, 6713, 33565.
What is 33565 in binary?
1000001100011101 (hexadecimal 831D, octal 101435).
What is the square root of 33565?
About 183.2075, exactly 7√685.
Is 33565 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33565?
It is a composite number with 12 divisors.