The number 33284
33284 is a composite number with 12 divisors. Its prime factorisation is × 53 × 157. Divisors (12): 1, 2, 4, 53, 106, 157, 212, 314, 628, 8321, 16642, 33284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33284 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33284 is composite. Its prime factorisation is
- 3
The divisors add up to 59724; without 33284 itself that is 26440, so 33284 is deficient (26440 is less than 33284). Euler's totient φ(33284) = 16224 numbers up to 33284 share no factor with it.
- 4
The digits of 33284 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33284 = 2^{2} \times 53 \times 157 \]33284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59724 |
| Euler totient φ(n) | 16224 |
| Square | 1107824656 |
| Cube | 36872835850304 |
| Square root | 182.439031 (= 2√8321) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.3284 × |
33284 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and eighty-four |
| Binary (base 2) | 1000001000000100 |
| Octal (base 8) | 101004 |
| Hexadecimal (base 16) | 8204 |
| Base 3 | 1200122202 |
| As time | 33284 seconds = 9 h 14 min 44 s |
Is 33284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33284 ÷ 2 = 16642) | 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 (33284 ÷ 4 = 8321) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 33284 a prime number?
No. 33284 = × 53 × 157, so it is divisible by 2.
What are the factors of 33284?
1, 2, 4, 53, 106, 157, 212, 314, 628, 8321, 16642, 33284.
What is 33284 in binary?
1000001000000100 (hexadecimal 8204, octal 101004).
What is the square root of 33284?
About 182.4390, exactly 2√8321.
Is 33284 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33284?
It is a composite number with 12 divisors.