The number 5985
5985 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 19. Divisors (24): 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171 … 5985.
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How to work it out
- 1
5985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5985 is composite. Its prime factorisation is
- 3
The divisors add up to 12480; without 5985 itself that is 6495, so 5985 is abundant (6495 is more than 5985). Euler's totient φ(5985) = 2592 numbers up to 5985 share no factor with it.
- 4
The digits of 5985 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5985 = 3^{2} \times 5 \times 7 \times 19 \]5985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12480 |
| Euler totient φ(n) | 2592 |
| Square | 35820225 |
| Cube | 214384046625 |
| Square root | 77.362782 (= 3√665) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 5.985 × |
5985 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and eighty-five |
| Binary (base 2) | 1011101100001 |
| Octal (base 8) | 13541 |
| Hexadecimal (base 16) | 1761 |
| Base 3 | 22012200 |
| As time | 5985 seconds = 1 h 39 min 45 s |
Is 5985 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 (5985 ÷ 3 = 1995) | 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 (5985 ÷ 5 = 1197) | 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 | Yes (5985 ÷ 7 = 855) | 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 (5985 ÷ 9 = 665) | 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 5985 a prime number?
No. 5985 = × 5 × 7 × 19, so it is divisible by 3.
What are the factors of 5985?
1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985.
What is 5985 in binary?
1011101100001 (hexadecimal 1761, octal 13541).
What is the square root of 5985?
About 77.3628, exactly 3√665.
Is 5985 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5985?
It is a composite number with 24 divisors.