The number 57424
57424 is a composite number with 20 divisors. Its prime factorisation is × 37 × 97. Divisors (20): 1, 2, 4, 8, 16, 37, 74, 97, 148, 194, 296, 388, 592, 776, 1552, 3589 … 57424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57424 is composite. Its prime factorisation is
- 3
The divisors add up to 115444; without 57424 itself that is 58020, so 57424 is abundant (58020 is more than 57424). Euler's totient φ(57424) = 27648 numbers up to 57424 share no factor with it.
- 4
The digits of 57424 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57424 = 2^{4} \times 37 \times 97 \]57424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 115444 |
| Euler totient φ(n) | 27648 |
| Square | 3297515776 |
| Cube | 189356545921024 |
| Square root | 239.633053 (= 4√3589) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7424 × |
57424 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and twenty-four |
| Binary (base 2) | 1110000001010000 |
| Octal (base 8) | 160120 |
| Hexadecimal (base 16) | E050 |
| Base 3 | 2220202211 |
| As time | 57424 seconds = 15 h 57 min 4 s |
Is 57424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57424 ÷ 2 = 28712) | 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 (57424 ÷ 4 = 14356) | 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 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 (57424 ÷ 8 = 7178) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 57424 a prime number?
No. 57424 = × 37 × 97, so it is divisible by 2.
What are the factors of 57424?
1, 2, 4, 8, 16, 37, 74, 97, 148, 194, 296, 388, 592, 776, 1552, 3589, 7178, 14356, 28712, 57424.
What is 57424 in binary?
1110000001010000 (hexadecimal E050, octal 160120).
What is the square root of 57424?
About 239.6331, exactly 4√3589.
Is 57424 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 57424?
It is a composite number with 20 divisors.