The number 17985
17985 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 109. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 109, 165, 327, 545, 1199, 1635, 3597, 5995, 17985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17985 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 17985 itself that is 13695, so 17985 is deficient (13695 is less than 17985). Euler's totient φ(17985) = 8640 numbers up to 17985 share no factor with it.
- 4
The digits of 17985 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17985 = 3 \times 5 \times 11 \times 109 \]
17985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 8640 |
| Square | 323460225 |
| Cube | 5817432146625 |
| Square root | 134.108165 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7985 × |
17985 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and eighty-five |
| Binary (base 2) | 100011001000001 |
| Octal (base 8) | 43101 |
| Hexadecimal (base 16) | 4641 |
| Base 3 | 220200010 |
| As time | 17985 seconds = 4 h 59 min 45 s |
Is 17985 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 (17985 ÷ 3 = 5995) | 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 (17985 ÷ 5 = 3597) | 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 3) | 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 (17985 ÷ 11 = 1635) | 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 17985 a prime number?
No. 17985 = 3 × 5 × 11 × 109, so it is divisible by 3.
What are the factors of 17985?
1, 3, 5, 11, 15, 33, 55, 109, 165, 327, 545, 1199, 1635, 3597, 5995, 17985.
What is 17985 in binary?
100011001000001 (hexadecimal 4641, octal 43101).
What is the square root of 17985?
About 134.1082.
Is 17985 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 17985?
It is a composite number with 16 divisors.