The number 23985
23985 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 41. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 41, 45, 65, 117, 123, 195, 205, 369, 533 … 23985.
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How to work it out
- 1
23985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23985 is composite. Its prime factorisation is
- 3
The divisors add up to 45864; without 23985 itself that is 21879, so 23985 is deficient (21879 is less than 23985). Euler's totient φ(23985) = 11520 numbers up to 23985 share no factor with it.
- 4
The digits of 23985 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23985 = 3^{2} \times 5 \times 13 \times 41 \]23985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 45864 |
| Euler totient φ(n) | 11520 |
| Square | 575280225 |
| Cube | 13798096196625 |
| Square root | 154.870914 (= 3√2665) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3985 × |
23985 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and eighty-five |
| Binary (base 2) | 101110110110001 |
| Octal (base 8) | 56661 |
| Hexadecimal (base 16) | 5DB1 |
| Base 3 | 1012220100 |
| As time | 23985 seconds = 6 h 39 min 45 s |
Is 23985 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 (23985 ÷ 3 = 7995) | 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 (23985 ÷ 5 = 4797) | 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 3) | 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 (23985 ÷ 9 = 2665) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23985 a prime number?
No. 23985 = × 5 × 13 × 41, so it is divisible by 3.
What are the factors of 23985?
1, 3, 5, 9, 13, 15, 39, 41, 45, 65, 117, 123, 195, 205, 369, 533, 585, 615, 1599, 1845, 2665, 4797, 7995, 23985.
What is 23985 in binary?
101110110110001 (hexadecimal 5DB1, octal 56661).
What is the square root of 23985?
About 154.8709, exactly 3√2665.
Is 23985 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 23985?
It is a composite number with 24 divisors.