The number 57987
57987 is a composite number with 12 divisors. Its prime factorisation is × 17 × 379. Divisors (12): 1, 3, 9, 17, 51, 153, 379, 1137, 3411, 6443, 19329, 57987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57987 is composite. Its prime factorisation is
- 3
The divisors add up to 88920; without 57987 itself that is 30933, so 57987 is deficient (30933 is less than 57987). Euler's totient φ(57987) = 36288 numbers up to 57987 share no factor with it.
- 4
The digits of 57987 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57987 = 3^{2} \times 17 \times 379 \]57987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88920 |
| Euler totient φ(n) | 36288 |
| Square | 3362492169 |
| Cube | 194980833403803 |
| Square root | 240.804900 (= 3√6443) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7987 × |
57987 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and eighty-seven |
| Binary (base 2) | 1110001010000011 |
| Octal (base 8) | 161203 |
| Hexadecimal (base 16) | E283 |
| Base 3 | 2221112200 |
| As time | 57987 seconds = 16 h 6 min 27 s |
Is 57987 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 (57987 ÷ 3 = 19329) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57987 ÷ 9 = 6443) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57987 a prime number?
No. 57987 = × 17 × 379, so it is divisible by 3.
What are the factors of 57987?
1, 3, 9, 17, 51, 153, 379, 1137, 3411, 6443, 19329, 57987.
What is 57987 in binary?
1110001010000011 (hexadecimal E283, octal 161203).
What is the square root of 57987?
About 240.8049, exactly 3√6443.
Is 57987 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 57987?
It is a composite number with 12 divisors.