The number 33704
33704 is a composite number with 16 divisors. Its prime factorisation is × 11 × 383. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 383, 766, 1532, 3064, 4213, 8426, 16852, 33704.
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How to work it out
- 1
33704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33704 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 33704 itself that is 35416, so 33704 is abundant (35416 is more than 33704). Euler's totient φ(33704) = 15280 numbers up to 33704 share no factor with it.
- 4
The digits of 33704 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33704 = 2^{3} \times 11 \times 383 \]33704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 15280 |
| Square | 1135959616 |
| Cube | 38286382897664 |
| Square root | 183.586492 (= 2√8426) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3704 × |
33704 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and four |
| Binary (base 2) | 1000001110101000 |
| Octal (base 8) | 101650 |
| Hexadecimal (base 16) | 83A8 |
| Base 3 | 1201020022 |
| As time | 33704 seconds = 9 h 21 min 44 s |
Is 33704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33704 ÷ 2 = 16852) | 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 (33704 ÷ 4 = 8426) | 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 | No (remainder 6) | 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 | Yes (33704 ÷ 8 = 4213) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33704 ÷ 11 = 3064) | 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 33704 a prime number?
No. 33704 = × 11 × 383, so it is divisible by 2.
What are the factors of 33704?
1, 2, 4, 8, 11, 22, 44, 88, 383, 766, 1532, 3064, 4213, 8426, 16852, 33704.
What is 33704 in binary?
1000001110101000 (hexadecimal 83A8, octal 101650).
What is the square root of 33704?
About 183.5865, exactly 2√8426.
Is 33704 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33704?
It is a composite number with 16 divisors.