The number 57387
57387 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 37 × 47. Divisors (16): 1, 3, 11, 33, 37, 47, 111, 141, 407, 517, 1221, 1551, 1739, 5217, 19129, 57387.
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How to work it out
- 1
57387 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57387 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 57387 itself that is 30165, so 57387 is deficient (30165 is less than 57387). Euler's totient φ(57387) = 33120 numbers up to 57387 share no factor with it.
- 4
The digits of 57387 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 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57387 = 3 \times 11 \times 37 \times 47 \]
57387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 33120 |
| Square | 3293267769 |
| Cube | 188990757459603 |
| Square root | 239.555839 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7387 × |
57387 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and eighty-seven |
| Binary (base 2) | 1110000000101011 |
| Octal (base 8) | 160053 |
| Hexadecimal (base 16) | E02B |
| Base 3 | 2220201110 |
| As time | 57387 seconds = 15 h 56 min 27 s |
Is 57387 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 (57387 ÷ 3 = 19129) | 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 1) | 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 | No (remainder 3) | 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 | Yes (57387 ÷ 11 = 5217) | 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 57387 a prime number?
No. 57387 = 3 × 11 × 37 × 47, so it is divisible by 3.
What are the factors of 57387?
1, 3, 11, 33, 37, 47, 111, 141, 407, 517, 1221, 1551, 1739, 5217, 19129, 57387.
What is 57387 in binary?
1110000000101011 (hexadecimal E02B, octal 160053).
What is the square root of 57387?
About 239.5558.
Is 57387 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57387?
It is a composite number with 16 divisors.