The number 33708
33708 is a composite number with 18 divisors. Its prime factorisation is × 3 × . Divisors (18): 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636, 2809, 5618, 8427, 11236 … 33708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33708 is composite. Its prime factorisation is
- 3
The divisors add up to 80164; without 33708 itself that is 46456, so 33708 is abundant (46456 is more than 33708). Euler's totient φ(33708) = 11024 numbers up to 33708 share no factor with it.
- 4
The digits of 33708 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33708 = 2^{2} \times 3 \times 53^{2} \]33708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 80164 |
| Euler totient φ(n) | 11024 |
| Square | 1136229264 |
| Cube | 38300016030912 |
| Square root | 183.597386 (= 106√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3708 × |
33708 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and eight |
| Binary (base 2) | 1000001110101100 |
| Octal (base 8) | 101654 |
| Hexadecimal (base 16) | 83AC |
| Base 3 | 1201020110 |
| As time | 33708 seconds = 9 h 21 min 48 s |
Is 33708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33708 ÷ 2 = 16854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33708 ÷ 3 = 11236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33708 ÷ 4 = 8427) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33708 ÷ 6 = 5618) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33708 ÷ 12 = 2809) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33708 a prime number?
No. 33708 = × 3 × , so it is divisible by 2.
What are the factors of 33708?
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636, 2809, 5618, 8427, 11236, 16854, 33708.
What is 33708 in binary?
1000001110101100 (hexadecimal 83AC, octal 101654).
What is the square root of 33708?
About 183.5974, exactly 106√3.
Is 33708 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33708?
It is a composite number with 18 divisors.