The number 57728
57728 is a composite number with 32 divisors. Its prime factorisation is × 11 × 41. Divisors (32): 1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 64, 82, 88, 128, 164, 176 … 57728.
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How to work it out
- 1
57728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57728 is composite. Its prime factorisation is
- 3
The divisors add up to 128520; without 57728 itself that is 70792, so 57728 is abundant (70792 is more than 57728). Euler's totient φ(57728) = 25600 numbers up to 57728 share no factor with it.
- 4
The digits of 57728 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57728 = 2^{7} \times 11 \times 41 \]57728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 128520 |
| Euler totient φ(n) | 25600 |
| Square | 3332521984 |
| Cube | 192379829092352 |
| Square root | 240.266519 (= 8√902) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.7728 × |
57728 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and twenty-eight |
| Binary (base 2) | 1110000110000000 |
| Octal (base 8) | 160600 |
| Hexadecimal (base 16) | E180 |
| Base 3 | 2221012002 |
| As time | 57728 seconds = 16 h 2 min 8 s |
Is 57728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57728 ÷ 2 = 28864) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57728 ÷ 4 = 14432) | 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 2) | 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 | Yes (57728 ÷ 8 = 7216) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (57728 ÷ 11 = 5248) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57728 a prime number?
No. 57728 = × 11 × 41, so it is divisible by 2.
What are the factors of 57728?
1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 64, 82, 88, 128, 164, 176, 328, 352, 451, 656, 704, 902, 1312, 1408, 1804, 2624, 3608, 5248, 7216, 14432, 28864, 57728.
What is 57728 in binary?
1110000110000000 (hexadecimal E180, octal 160600).
What is the square root of 57728?
About 240.2665, exactly 8√902.
Is 57728 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57728?
It is a composite number with 32 divisors.