The number 33844
33844 is a composite number with 6 divisors. Its prime factorisation is × 8461. Divisors (6): 1, 2, 4, 8461, 16922, 33844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33844 is composite. Its prime factorisation is
- 3
The divisors add up to 59234; without 33844 itself that is 25390, so 33844 is deficient (25390 is less than 33844). Euler's totient φ(33844) = 16920 numbers up to 33844 share no factor with it.
- 4
The digits of 33844 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33844 = 2^{2} \times 8461 \]33844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 59234 |
| Euler totient φ(n) | 16920 |
| Square | 1145416336 |
| Cube | 38765470475584 |
| Square root | 183.967388 (= 2√8461) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3844 × |
33844 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and forty-four |
| Binary (base 2) | 1000010000110100 |
| Octal (base 8) | 102064 |
| Hexadecimal (base 16) | 8434 |
| Base 3 | 1201102111 |
| As time | 33844 seconds = 9 h 24 min 4 s |
Is 33844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33844 ÷ 2 = 16922) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33844 ÷ 4 = 8461) | 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 4) | 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 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33844 a prime number?
No. 33844 = × 8461, so it is divisible by 2.
What are the factors of 33844?
1, 2, 4, 8461, 16922, 33844.
What is 33844 in binary?
1000010000110100 (hexadecimal 8434, octal 102064).
What is the square root of 33844?
About 183.9674, exactly 2√8461.
Is 33844 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33844?
It is a composite number with 6 divisors.