The number 33838
33838 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2417. Divisors (8): 1, 2, 7, 14, 2417, 4834, 16919, 33838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33838 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 33838 itself that is 24194, so 33838 is deficient (24194 is less than 33838). Euler's totient φ(33838) = 14496 numbers up to 33838 share no factor with it.
- 4
The digits of 33838 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33838 = 2 \times 7 \times 2417 \]
33838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 14496 |
| Square | 1145010244 |
| Cube | 38744856636472 |
| Square root | 183.951080 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3838 × |
33838 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirty-eight |
| Binary (base 2) | 1000010000101110 |
| Octal (base 8) | 102056 |
| Hexadecimal (base 16) | 842E |
| Base 3 | 1201102021 |
| As time | 33838 seconds = 9 h 23 min 58 s |
Is 33838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33838 ÷ 2 = 16919) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33838 ÷ 7 = 4834) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33838 a prime number?
No. 33838 = 2 × 7 × 2417, so it is divisible by 2.
What are the factors of 33838?
1, 2, 7, 14, 2417, 4834, 16919, 33838.
What is 33838 in binary?
1000010000101110 (hexadecimal 842E, octal 102056).
What is the square root of 33838?
About 183.9511.
Is 33838 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33838?
It is a composite number with 8 divisors.