The number 33404
33404 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1193. Divisors (12): 1, 2, 4, 7, 14, 28, 1193, 2386, 4772, 8351, 16702, 33404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33404: a Harshad number: divisible by its digit sum 14.
- 2
33404 is composite. Its prime factorisation is
- 3
The divisors add up to 66864; without 33404 itself that is 33460, so 33404 is abundant (33460 is more than 33404). Euler's totient φ(33404) = 14304 numbers up to 33404 share no factor with it.
- 4
The digits of 33404 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 235 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33404 = 2^{2} \times 7 \times 1193 \]33404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66864 |
| Euler totient φ(n) | 14304 |
| Square | 1115827216 |
| Cube | 37273092323264 |
| Square root | 182.767612 (= 2√8351) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 235 |
| Scientific notation | 3.3404 × |
33404 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and four |
| Binary (base 2) | 1000001001111100 |
| Octal (base 8) | 101174 |
| Hexadecimal (base 16) | 827C |
| Base 3 | 1200211012 |
| As time | 33404 seconds = 9 h 16 min 44 s |
Is 33404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33404 ÷ 2 = 16702) | 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 | Yes (33404 ÷ 4 = 8351) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33404 ÷ 7 = 4772) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33404 a prime number?
No. 33404 = × 7 × 1193, so it is divisible by 2.
What are the factors of 33404?
1, 2, 4, 7, 14, 28, 1193, 2386, 4772, 8351, 16702, 33404.
What is 33404 in binary?
1000001001111100 (hexadecimal 827C, octal 101174).
What is the square root of 33404?
About 182.7676, exactly 2√8351.
Is 33404 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33404?
33404 is a Harshad number: divisible by its digit sum 14.