The number 38385
38385 is a composite number with 12 divisors. Its prime factorisation is × 5 × 853. Divisors (12): 1, 3, 5, 9, 15, 45, 853, 2559, 4265, 7677, 12795, 38385.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38385 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38385 is composite. Its prime factorisation is
- 3
The divisors add up to 66612; without 38385 itself that is 28227, so 38385 is deficient (28227 is less than 38385). Euler's totient φ(38385) = 20448 numbers up to 38385 share no factor with it.
- 4
The digits of 38385 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38385 = 3^{2} \times 5 \times 853 \]38385 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66612 |
| Euler totient φ(n) | 20448 |
| Square | 1473408225 |
| Cube | 56556774716625 |
| Square root | 195.920902 (= 3√4265) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8385 × |
38385 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and eighty-five |
| Binary (base 2) | 1001010111110001 |
| Octal (base 8) | 112761 |
| Hexadecimal (base 16) | 95F1 |
| Base 3 | 1221122200 |
| As time | 38385 seconds = 10 h 39 min 45 s |
Is 38385 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 (38385 ÷ 3 = 12795) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38385 ÷ 5 = 7677) | 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 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38385 ÷ 9 = 4265) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38385 a prime number?
No. 38385 = × 5 × 853, so it is divisible by 3.
What are the factors of 38385?
1, 3, 5, 9, 15, 45, 853, 2559, 4265, 7677, 12795, 38385.
What is 38385 in binary?
1001010111110001 (hexadecimal 95F1, octal 112761).
What is the square root of 38385?
About 195.9209, exactly 3√4265.
Is 38385 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38385?
It is a composite number with 12 divisors.