The number 33834
33834 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5639. Divisors (8): 1, 2, 3, 6, 5639, 11278, 16917, 33834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33834 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33834 is composite. Its prime factorisation is
- 3
The divisors add up to 67680; without 33834 itself that is 33846, so 33834 is abundant (33846 is more than 33834). Euler's totient φ(33834) = 11276 numbers up to 33834 share no factor with it.
- 4
The digits of 33834 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33834 = 2 \times 3 \times 5639 \]
33834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67680 |
| Euler totient φ(n) | 11276 |
| Square | 1144739556 |
| Cube | 38731118137704 |
| Square root | 183.940208 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3834 × |
33834 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirty-four |
| Binary (base 2) | 1000010000101010 |
| Octal (base 8) | 102052 |
| Hexadecimal (base 16) | 842A |
| Base 3 | 1201102010 |
| As time | 33834 seconds = 9 h 23 min 54 s |
Is 33834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33834 ÷ 2 = 16917) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33834 ÷ 3 = 11278) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (33834 ÷ 6 = 5639) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33834 a prime number?
No. 33834 = 2 × 3 × 5639, so it is divisible by 2.
What are the factors of 33834?
1, 2, 3, 6, 5639, 11278, 16917, 33834.
What is 33834 in binary?
1000010000101010 (hexadecimal 842A, octal 102052).
What is the square root of 33834?
About 183.9402.
Is 33834 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33834?
It is a composite number with 8 divisors.