The number 38805
38805 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 199. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 199, 597, 995, 2587, 2985, 7761, 12935, 38805.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38805 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38805 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 38805 itself that is 28395, so 38805 is deficient (28395 is less than 38805). Euler's totient φ(38805) = 19008 numbers up to 38805 share no factor with it.
- 4
The digits of 38805 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38805 = 3 \times 5 \times 13 \times 199 \]
38805 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 19008 |
| Square | 1505828025 |
| Cube | 58433656510125 |
| Square root | 196.989847 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8805 × |
38805 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and five |
| Binary (base 2) | 1001011110010101 |
| Octal (base 8) | 113625 |
| Hexadecimal (base 16) | 9795 |
| Base 3 | 1222020020 |
| As time | 38805 seconds = 10 h 46 min 45 s |
Is 38805 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 (38805 ÷ 3 = 12935) | 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 (38805 ÷ 5 = 7761) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | 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 38805 a prime number?
No. 38805 = 3 × 5 × 13 × 199, so it is divisible by 3.
What are the factors of 38805?
1, 3, 5, 13, 15, 39, 65, 195, 199, 597, 995, 2587, 2985, 7761, 12935, 38805.
What is 38805 in binary?
1001011110010101 (hexadecimal 9795, octal 113625).
What is the square root of 38805?
About 196.9898.
Is 38805 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38805?
It is a composite number with 16 divisors.