The number 33848
33848 is a composite number with 8 divisors. Its prime factorisation is × 4231. Divisors (8): 1, 2, 4, 8, 4231, 8462, 16924, 33848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33848 is composite. Its prime factorisation is
- 3
The divisors add up to 63480; without 33848 itself that is 29632, so 33848 is deficient (29632 is less than 33848). Euler's totient φ(33848) = 16920 numbers up to 33848 share no factor with it.
- 4
The digits of 33848 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33848 = 2^{3} \times 4231 \]33848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63480 |
| Euler totient φ(n) | 16920 |
| Square | 1145687104 |
| Cube | 38779217096192 |
| Square root | 183.978260 (= 2√8462) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3848 × |
33848 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and forty-eight |
| Binary (base 2) | 1000010000111000 |
| Octal (base 8) | 102070 |
| Hexadecimal (base 16) | 8438 |
| Base 3 | 1201102122 |
| As time | 33848 seconds = 9 h 24 min 8 s |
Is 33848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33848 ÷ 2 = 16924) | 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 (33848 ÷ 4 = 8462) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 3) | 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 | Yes (33848 ÷ 8 = 4231) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 33848 a prime number?
No. 33848 = × 4231, so it is divisible by 2.
What are the factors of 33848?
1, 2, 4, 8, 4231, 8462, 16924, 33848.
What is 33848 in binary?
1000010000111000 (hexadecimal 8438, octal 102070).
What is the square root of 33848?
About 183.9783, exactly 2√8462.
Is 33848 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33848?
It is a composite number with 8 divisors.