The number 33561
33561 is a composite number with 16 divisors. Its prime factorisation is × 11 × 113. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 113, 297, 339, 1017, 1243, 3051, 3729, 11187, 33561.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33561 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33561 is composite. Its prime factorisation is
- 3
The divisors add up to 54720; without 33561 itself that is 21159, so 33561 is deficient (21159 is less than 33561). Euler's totient φ(33561) = 20160 numbers up to 33561 share no factor with it.
- 4
The digits of 33561 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33561 = 3^{3} \times 11 \times 113 \]33561 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54720 |
| Euler totient φ(n) | 20160 |
| Square | 1126340721 |
| Cube | 37801120937481 |
| Square root | 183.196616 (= 3√3729) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3561 × |
33561 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and sixty-one |
| Binary (base 2) | 1000001100011001 |
| Octal (base 8) | 101431 |
| Hexadecimal (base 16) | 8319 |
| Base 3 | 1201001000 |
| As time | 33561 seconds = 9 h 19 min 21 s |
Is 33561 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 | Yes (33561 ÷ 3 = 11187) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33561 ÷ 9 = 3729) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33561 ÷ 11 = 3051) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33561 a prime number?
No. 33561 = × 11 × 113, so it is divisible by 3.
What are the factors of 33561?
1, 3, 9, 11, 27, 33, 99, 113, 297, 339, 1017, 1243, 3051, 3729, 11187, 33561.
What is 33561 in binary?
1000001100011001 (hexadecimal 8319, octal 101431).
What is the square root of 33561?
About 183.1966, exactly 3√3729.
Is 33561 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33561?
It is a composite number with 16 divisors.