The number 57084
57084 is a composite number with 24 divisors. Its prime factorisation is × 3 × 67 × 71. Divisors (24): 1, 2, 3, 4, 6, 12, 67, 71, 134, 142, 201, 213, 268, 284, 402, 426 … 57084.
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How to work it out
- 1
57084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57084 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 57084 itself that is 80004, so 57084 is abundant (80004 is more than 57084). Euler's totient φ(57084) = 18480 numbers up to 57084 share no factor with it.
- 4
The digits of 57084 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57084 = 2^{2} \times 3 \times 67 \times 71 \]57084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 18480 |
| Square | 3258583056 |
| Cube | 186012955168704 |
| Square root | 238.922582 (= 2√14271) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7084 × |
57084 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and eighty-four |
| Binary (base 2) | 1101111011111100 |
| Octal (base 8) | 157374 |
| Hexadecimal (base 16) | DEFC |
| Base 3 | 2220022020 |
| As time | 57084 seconds = 15 h 51 min 24 s |
Is 57084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57084 ÷ 2 = 28542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57084 ÷ 3 = 19028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57084 ÷ 4 = 14271) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57084 ÷ 6 = 9514) | 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 4) | 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 4) | 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 | Yes (57084 ÷ 12 = 4757) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57084 a prime number?
No. 57084 = × 3 × 67 × 71, so it is divisible by 2.
What are the factors of 57084?
1, 2, 3, 4, 6, 12, 67, 71, 134, 142, 201, 213, 268, 284, 402, 426, 804, 852, 4757, 9514, 14271, 19028, 28542, 57084.
What is 57084 in binary?
1101111011111100 (hexadecimal DEFC, octal 157374).
What is the square root of 57084?
About 238.9226, exactly 2√14271.
Is 57084 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57084?
It is a composite number with 24 divisors.