The number 33009
33009 is a composite number with 4 divisors. Its prime factorisation is 3 × 11003. Divisors (4): 1, 3, 11003, 33009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33009: a semiprime: 3 × 11003, the product of two primes.
- 2
33009 is composite. Its prime factorisation is
- 3
The divisors add up to 44016; without 33009 itself that is 11007, so 33009 is deficient (11007 is less than 33009). Euler's totient φ(33009) = 22004 numbers up to 33009 share no factor with it.
- 4
The digits of 33009 add up to 15, 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
\[ 33009 = 3 \times 11003 \]
33009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44016 |
| Euler totient φ(n) | 22004 |
| Square | 1089594081 |
| Cube | 35966411019729 |
| Square root | 181.683791 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3009 × |
33009 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and nine |
| Binary (base 2) | 1000000011110001 |
| Octal (base 8) | 100361 |
| Hexadecimal (base 16) | 80F1 |
| Base 3 | 1200021120 |
| As time | 33009 seconds = 9 h 10 min 9 s |
Is 33009 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 (33009 ÷ 3 = 11003) | 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 4) | 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 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 9) | 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 33009 a prime number?
No. 33009 = 3 × 11003, so it is divisible by 3.
What are the factors of 33009?
1, 3, 11003, 33009.
What is 33009 in binary?
1000000011110001 (hexadecimal 80F1, octal 100361).
What is the square root of 33009?
About 181.6838.
Is 33009 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33009?
33009 is a semiprime: 3 × 11003, the product of two primes.