The number 33089
33089 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 163. Divisors (8): 1, 7, 29, 163, 203, 1141, 4727, 33089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33089 is composite. Its prime factorisation is
- 3
The divisors add up to 39360; without 33089 itself that is 6271, so 33089 is deficient (6271 is less than 33089). Euler's totient φ(33089) = 27216 numbers up to 33089 share no factor with it.
- 4
The digits of 33089 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33089 = 7 \times 29 \times 163 \]
33089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39360 |
| Euler totient φ(n) | 27216 |
| Square | 1094881921 |
| Cube | 36228547883969 |
| Square root | 181.903821 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3089 × |
33089 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and eighty-nine |
| Binary (base 2) | 1000000101000001 |
| Octal (base 8) | 100501 |
| Hexadecimal (base 16) | 8141 |
| Base 3 | 1200101112 |
| As time | 33089 seconds = 9 h 11 min 29 s |
Is 33089 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33089 ÷ 7 = 4727) | 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 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33089 a prime number?
No. 33089 = 7 × 29 × 163, so it is divisible by 7.
What are the factors of 33089?
1, 7, 29, 163, 203, 1141, 4727, 33089.
What is 33089 in binary?
1000000101000001 (hexadecimal 8141, octal 100501).
What is the square root of 33089?
About 181.9038.
Is 33089 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33089?
It is a composite number with 8 divisors.