The number 57088
57088 is a composite number with 18 divisors. Its prime factorisation is × 223. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 223, 256, 446, 892, 1784, 3568, 7136, 14272 … 57088.
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How to work it out
- 1
57088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57088 is composite. Its prime factorisation is
- 3
The divisors add up to 114464; without 57088 itself that is 57376, so 57088 is abundant (57376 is more than 57088). Euler's totient φ(57088) = 28416 numbers up to 57088 share no factor with it.
- 4
The digits of 57088 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57088 = 2^{8} \times 223 \]57088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 114464 |
| Euler totient φ(n) | 28416 |
| Square | 3259039744 |
| Cube | 186052060905472 |
| Square root | 238.930952 (= 16√223) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7088 × |
57088 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and eighty-eight |
| Binary (base 2) | 1101111100000000 |
| Octal (base 8) | 157400 |
| Hexadecimal (base 16) | DF00 |
| Base 3 | 2220022101 |
| As time | 57088 seconds = 15 h 51 min 28 s |
Is 57088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57088 ÷ 2 = 28544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57088 ÷ 4 = 14272) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (57088 ÷ 8 = 7136) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57088 a prime number?
No. 57088 = × 223, so it is divisible by 2.
What are the factors of 57088?
1, 2, 4, 8, 16, 32, 64, 128, 223, 256, 446, 892, 1784, 3568, 7136, 14272, 28544, 57088.
What is 57088 in binary?
1101111100000000 (hexadecimal DF00, octal 157400).
What is the square root of 57088?
About 238.9310, exactly 16√223.
Is 57088 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57088?
It is a composite number with 18 divisors.