The number 38835
38835 is a composite number with 12 divisors. Its prime factorisation is × 5 × 863. Divisors (12): 1, 3, 5, 9, 15, 45, 863, 2589, 4315, 7767, 12945, 38835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38835 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 38835 itself that is 28557, so 38835 is deficient (28557 is less than 38835). Euler's totient φ(38835) = 20688 numbers up to 38835 share no factor with it.
- 4
The digits of 38835 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 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38835 = 3^{2} \times 5 \times 863 \]38835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 20688 |
| Square | 1508157225 |
| Cube | 58569285832875 |
| Square root | 197.065979 (= 3√4315) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8835 × |
38835 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and thirty-five |
| Binary (base 2) | 1001011110110011 |
| Octal (base 8) | 113663 |
| Hexadecimal (base 16) | 97B3 |
| Base 3 | 1222021100 |
| As time | 38835 seconds = 10 h 47 min 15 s |
Is 38835 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 (38835 ÷ 3 = 12945) | 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 (38835 ÷ 5 = 7767) | 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 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38835 ÷ 9 = 4315) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38835 a prime number?
No. 38835 = × 5 × 863, so it is divisible by 3.
What are the factors of 38835?
1, 3, 5, 9, 15, 45, 863, 2589, 4315, 7767, 12945, 38835.
What is 38835 in binary?
1001011110110011 (hexadecimal 97B3, octal 113663).
What is the square root of 38835?
About 197.0660, exactly 3√4315.
Is 38835 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38835?
It is a composite number with 12 divisors.