The number 33849
33849 is a composite number with 6 divisors. Its prime factorisation is × 3761. Divisors (6): 1, 3, 9, 3761, 11283, 33849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33849 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33849 is composite. Its prime factorisation is
- 3
The divisors add up to 48906; without 33849 itself that is 15057, so 33849 is deficient (15057 is less than 33849). Euler's totient φ(33849) = 22560 numbers up to 33849 share no factor with it.
- 4
The digits of 33849 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33849 = 3^{2} \times 3761 \]33849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48906 |
| Euler totient φ(n) | 22560 |
| Square | 1145754801 |
| Cube | 38782654259049 |
| Square root | 183.980977 (= 3√3761) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3849 × |
33849 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and forty-nine |
| Binary (base 2) | 1000010000111001 |
| Octal (base 8) | 102071 |
| Hexadecimal (base 16) | 8439 |
| Base 3 | 1201102200 |
| As time | 33849 seconds = 9 h 24 min 9 s |
Is 33849 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33849 ÷ 3 = 11283) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33849 ÷ 9 = 3761) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33849 a prime number?
No. 33849 = × 3761, so it is divisible by 3.
What are the factors of 33849?
1, 3, 9, 3761, 11283, 33849.
What is 33849 in binary?
1000010000111001 (hexadecimal 8439, octal 102071).
What is the square root of 33849?
About 183.9810, exactly 3√3761.
Is 33849 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33849?
It is a composite number with 6 divisors.