The number 33209
33209 is a composite number with 4 divisors. Its prime factorisation is 11 × 3019. Divisors (4): 1, 11, 3019, 33209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33209: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3019, the product of two primes.
- 2
33209 is composite. Its prime factorisation is
- 3
The divisors add up to 36240; without 33209 itself that is 3031, so 33209 is deficient (3031 is less than 33209). Euler's totient φ(33209) = 30180 numbers up to 33209 share no factor with it.
- 4
The digits of 33209 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33209 = 11 \times 3019 \]
33209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36240 |
| Euler totient φ(n) | 30180 |
| Square | 1102837681 |
| Cube | 36624136548329 |
| Square root | 182.233367 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3209 × |
33209 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and nine |
| Binary (base 2) | 1000000110111001 |
| Octal (base 8) | 100671 |
| Hexadecimal (base 16) | 81B9 |
| Base 3 | 1200112222 |
| As time | 33209 seconds = 9 h 13 min 29 s |
Is 33209 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 | No (remainder 1) | 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 8) | 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 | Yes (33209 ÷ 11 = 3019) | 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 33209 a prime number?
No. 33209 = 11 × 3019, so it is divisible by 11.
What are the factors of 33209?
1, 11, 3019, 33209.
What is 33209 in binary?
1000000110111001 (hexadecimal 81B9, octal 100671).
What is the square root of 33209?
About 182.2334.
Is 33209 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33209?
33209 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3019, the product of two primes.