The number 38985
38985 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 23 × 113. Divisors (16): 1, 3, 5, 15, 23, 69, 113, 115, 339, 345, 565, 1695, 2599, 7797, 12995, 38985.
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How to work it out
- 1
38985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38985 is composite. Its prime factorisation is
- 3
The divisors add up to 65664; without 38985 itself that is 26679, so 38985 is deficient (26679 is less than 38985). Euler's totient φ(38985) = 19712 numbers up to 38985 share no factor with it.
- 4
The digits of 38985 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38985 = 3 \times 5 \times 23 \times 113 \]
38985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65664 |
| Euler totient φ(n) | 19712 |
| Square | 1519830225 |
| Cube | 59250581321625 |
| Square root | 197.446195 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8985 × |
38985 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and eighty-five |
| Binary (base 2) | 1001100001001001 |
| Octal (base 8) | 114111 |
| Hexadecimal (base 16) | 9849 |
| Base 3 | 1222110220 |
| As time | 38985 seconds = 10 h 49 min 45 s |
Is 38985 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 (38985 ÷ 3 = 12995) | 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 (38985 ÷ 5 = 7797) | 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 2) | 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 | 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 1) | 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 38985 a prime number?
No. 38985 = 3 × 5 × 23 × 113, so it is divisible by 3.
What are the factors of 38985?
1, 3, 5, 15, 23, 69, 113, 115, 339, 345, 565, 1695, 2599, 7797, 12995, 38985.
What is 38985 in binary?
1001100001001001 (hexadecimal 9849, octal 114111).
What is the square root of 38985?
About 197.4462.
Is 38985 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 38985?
It is a composite number with 16 divisors.