The number 33204
33204 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2767. Divisors (12): 1, 2, 3, 4, 6, 12, 2767, 5534, 8301, 11068, 16602, 33204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33204: a Harshad number: divisible by its digit sum 12.
- 2
33204 is composite. Its prime factorisation is
- 3
The divisors add up to 77504; without 33204 itself that is 44300, so 33204 is abundant (44300 is more than 33204). Euler's totient φ(33204) = 11064 numbers up to 33204 share no factor with it.
- 4
The digits of 33204 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33204 = 2^{2} \times 3 \times 2767 \]33204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77504 |
| Euler totient φ(n) | 11064 |
| Square | 1102505616 |
| Cube | 36607596473664 |
| Square root | 182.219648 (= 2√8301) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3204 × |
33204 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and four |
| Binary (base 2) | 1000000110110100 |
| Octal (base 8) | 100664 |
| Hexadecimal (base 16) | 81B4 |
| Base 3 | 1200112210 |
| As time | 33204 seconds = 9 h 13 min 24 s |
Is 33204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33204 ÷ 2 = 16602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33204 ÷ 3 = 11068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33204 ÷ 4 = 8301) | 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 | Yes (33204 ÷ 6 = 5534) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33204 ÷ 12 = 2767) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33204 a prime number?
No. 33204 = × 3 × 2767, so it is divisible by 2.
What are the factors of 33204?
1, 2, 3, 4, 6, 12, 2767, 5534, 8301, 11068, 16602, 33204.
What is 33204 in binary?
1000000110110100 (hexadecimal 81B4, octal 100664).
What is the square root of 33204?
About 182.2196, exactly 2√8301.
Is 33204 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33204?
33204 is a Harshad number: divisible by its digit sum 12.