The number 33684
33684 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 401. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 401, 802, 1203, 1604 … 33684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33684 is composite. Its prime factorisation is
- 3
The divisors add up to 90048; without 33684 itself that is 56364, so 33684 is abundant (56364 is more than 33684). Euler's totient φ(33684) = 9600 numbers up to 33684 share no factor with it.
- 4
The digits of 33684 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33684 = 2^{2} \times 3 \times 7 \times 401 \]33684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90048 |
| Euler totient φ(n) | 9600 |
| Square | 1134611856 |
| Cube | 38218265757504 |
| Square root | 183.532014 (= 2√8421) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3684 × |
33684 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and eighty-four |
| Binary (base 2) | 1000001110010100 |
| Octal (base 8) | 101624 |
| Hexadecimal (base 16) | 8394 |
| Base 3 | 1201012120 |
| As time | 33684 seconds = 9 h 21 min 24 s |
Is 33684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33684 ÷ 2 = 16842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33684 ÷ 3 = 11228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33684 ÷ 4 = 8421) | 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 (33684 ÷ 6 = 5614) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33684 ÷ 7 = 4812) | 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 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33684 ÷ 12 = 2807) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33684 a prime number?
No. 33684 = × 3 × 7 × 401, so it is divisible by 2.
What are the factors of 33684?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 401, 802, 1203, 1604, 2406, 2807, 4812, 5614, 8421, 11228, 16842, 33684.
What is 33684 in binary?
1000001110010100 (hexadecimal 8394, octal 101624).
What is the square root of 33684?
About 183.5320, exactly 2√8421.
Is 33684 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33684?
It is a composite number with 24 divisors.