The number 47985
47985 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 457. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 457, 1371, 2285, 3199, 6855, 9597, 15995, 47985.
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How to work it out
- 1
47985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47985 is composite. Its prime factorisation is
- 3
The divisors add up to 87936; without 47985 itself that is 39951, so 47985 is deficient (39951 is less than 47985). Euler's totient φ(47985) = 21888 numbers up to 47985 share no factor with it.
- 4
The digits of 47985 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47985 = 3 \times 5 \times 7 \times 457 \]
47985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87936 |
| Euler totient φ(n) | 21888 |
| Square | 2302560225 |
| Cube | 110488352396625 |
| Square root | 219.054788 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7985 × |
47985 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and eighty-five |
| Binary (base 2) | 1011101101110001 |
| Octal (base 8) | 135561 |
| Hexadecimal (base 16) | BB71 |
| Base 3 | 2102211020 |
| As time | 47985 seconds = 13 h 19 min 45 s |
Is 47985 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 (47985 ÷ 3 = 15995) | 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 (47985 ÷ 5 = 9597) | 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 (47985 ÷ 7 = 6855) | 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 3) | 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 47985 a prime number?
No. 47985 = 3 × 5 × 7 × 457, so it is divisible by 3.
What are the factors of 47985?
1, 3, 5, 7, 15, 21, 35, 105, 457, 1371, 2285, 3199, 6855, 9597, 15995, 47985.
What is 47985 in binary?
1011101101110001 (hexadecimal BB71, octal 135561).
What is the square root of 47985?
About 219.0548.
Is 47985 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47985?
It is a composite number with 16 divisors.