The number 57344
57344 is a composite number with 28 divisors. Its prime factorisation is × 7. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448 … 57344.
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How to work it out
- 1
57344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57344 is composite. Its prime factorisation is
- 3
The divisors add up to 131064; without 57344 itself that is 73720, so 57344 is abundant (73720 is more than 57344). Euler's totient φ(57344) = 24576 numbers up to 57344 share no factor with it.
- 4
The digits of 57344 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57344 = 2^{13} \times 7 \]57344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 131064 |
| Euler totient φ(n) | 24576 |
| Square | 3288334336 |
| Cube | 188566244163584 |
| Square root | 239.466073 (= 64√14) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 29 |
| Scientific notation | 5.7344 × |
57344 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and forty-four |
| Binary (base 2) | 1110000000000000 |
| Octal (base 8) | 160000 |
| Hexadecimal (base 16) | E000 |
| Base 3 | 2220122212 |
| As time | 57344 seconds = 15 h 55 min 44 s |
Is 57344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57344 ÷ 2 = 28672) | 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 (57344 ÷ 4 = 14336) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57344 ÷ 7 = 8192) | 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 (57344 ÷ 8 = 7168) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 57344 a prime number?
No. 57344 = × 7, so it is divisible by 2.
What are the factors of 57344?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 4096, 7168, 8192, 14336, 28672, 57344.
What is 57344 in binary?
1110000000000000 (hexadecimal E000, octal 160000).
What is the square root of 57344?
About 239.4661, exactly 64√14.
Is 57344 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57344?
It is a composite number with 28 divisors.