The number 33884
33884 is a composite number with 12 divisors. Its prime factorisation is × 43 × 197. Divisors (12): 1, 2, 4, 43, 86, 172, 197, 394, 788, 8471, 16942, 33884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33884 is composite. Its prime factorisation is
- 3
The divisors add up to 60984; without 33884 itself that is 27100, so 33884 is deficient (27100 is less than 33884). Euler's totient φ(33884) = 16464 numbers up to 33884 share no factor with it.
- 4
The digits of 33884 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33884 = 2^{2} \times 43 \times 197 \]33884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60984 |
| Euler totient φ(n) | 16464 |
| Square | 1148125456 |
| Cube | 38903082951104 |
| Square root | 184.076071 (= 2√8471) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3884 × |
33884 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and eighty-four |
| Binary (base 2) | 1000010001011100 |
| Octal (base 8) | 102134 |
| Hexadecimal (base 16) | 845C |
| Base 3 | 1201110222 |
| As time | 33884 seconds = 9 h 24 min 44 s |
Is 33884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33884 ÷ 2 = 16942) | 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 (33884 ÷ 4 = 8471) | 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 4) | 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 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 | No (remainder 4) | 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 33884 a prime number?
No. 33884 = × 43 × 197, so it is divisible by 2.
What are the factors of 33884?
1, 2, 4, 43, 86, 172, 197, 394, 788, 8471, 16942, 33884.
What is 33884 in binary?
1000010001011100 (hexadecimal 845C, octal 102134).
What is the square root of 33884?
About 184.0761, exactly 2√8471.
Is 33884 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33884?
It is a composite number with 12 divisors.