The number 33189
33189 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 23 × 37. Divisors (16): 1, 3, 13, 23, 37, 39, 69, 111, 299, 481, 851, 897, 1443, 2553, 11063, 33189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33189 is composite. Its prime factorisation is
- 3
The divisors add up to 51072; without 33189 itself that is 17883, so 33189 is deficient (17883 is less than 33189). Euler's totient φ(33189) = 19008 numbers up to 33189 share no factor with it.
- 4
The digits of 33189 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33189 = 3 \times 13 \times 23 \times 37 \]
33189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51072 |
| Euler totient φ(n) | 19008 |
| Square | 1101509721 |
| Cube | 36558006130269 |
| Square root | 182.178484 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3189 × |
33189 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and eighty-nine |
| Binary (base 2) | 1000000110100101 |
| Octal (base 8) | 100645 |
| Hexadecimal (base 16) | 81A5 |
| Base 3 | 1200112020 |
| As time | 33189 seconds = 9 h 13 min 9 s |
Is 33189 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 (33189 ÷ 3 = 11063) | 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 4) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 33189 a prime number?
No. 33189 = 3 × 13 × 23 × 37, so it is divisible by 3.
What are the factors of 33189?
1, 3, 13, 23, 37, 39, 69, 111, 299, 481, 851, 897, 1443, 2553, 11063, 33189.
What is 33189 in binary?
1000000110100101 (hexadecimal 81A5, octal 100645).
What is the square root of 33189?
About 182.1785.
Is 33189 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33189?
It is a composite number with 16 divisors.