The number 38335
38335 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 17 × 41. Divisors (16): 1, 5, 11, 17, 41, 55, 85, 187, 205, 451, 697, 935, 2255, 3485, 7667, 38335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38335 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 38335 itself that is 16097, so 38335 is deficient (16097 is less than 38335). Euler's totient φ(38335) = 25600 numbers up to 38335 share no factor with it.
- 4
The digits of 38335 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38335 = 5 \times 11 \times 17 \times 41 \]
38335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 25600 |
| Square | 1469572225 |
| Cube | 56336051245375 |
| Square root | 195.793258 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8335 × |
38335 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and thirty-five |
| Binary (base 2) | 1001010110111111 |
| Octal (base 8) | 112677 |
| Hexadecimal (base 16) | 95BF |
| Base 3 | 1221120211 |
| As time | 38335 seconds = 10 h 38 min 55 s |
Is 38335 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38335 ÷ 5 = 7667) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38335 ÷ 11 = 3485) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38335 a prime number?
No. 38335 = 5 × 11 × 17 × 41, so it is divisible by 5.
What are the factors of 38335?
1, 5, 11, 17, 41, 55, 85, 187, 205, 451, 697, 935, 2255, 3485, 7667, 38335.
What is 38335 in binary?
1001010110111111 (hexadecimal 95BF, octal 112677).
What is the square root of 38335?
About 195.7933.
Is 38335 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38335?
It is a composite number with 16 divisors.