The number 57712
57712 is a composite number with 10 divisors. Its prime factorisation is × 3607. Divisors (10): 1, 2, 4, 8, 16, 3607, 7214, 14428, 28856, 57712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57712 is composite. Its prime factorisation is
- 3
The divisors add up to 111848; without 57712 itself that is 54136, so 57712 is deficient (54136 is less than 57712). Euler's totient φ(57712) = 28848 numbers up to 57712 share no factor with it.
- 4
The digits of 57712 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57712 = 2^{4} \times 3607 \]57712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 111848 |
| Euler totient φ(n) | 28848 |
| Square | 3330674944 |
| Cube | 192219912368128 |
| Square root | 240.233220 (= 4√3607) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.7712 × |
57712 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and twelve |
| Binary (base 2) | 1110000101110000 |
| Octal (base 8) | 160560 |
| Hexadecimal (base 16) | E170 |
| Base 3 | 2221011111 |
| As time | 57712 seconds = 16 h 1 min 52 s |
Is 57712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57712 ÷ 2 = 28856) | 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 (57712 ÷ 4 = 14428) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 (57712 ÷ 8 = 7214) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 57712 a prime number?
No. 57712 = × 3607, so it is divisible by 2.
What are the factors of 57712?
1, 2, 4, 8, 16, 3607, 7214, 14428, 28856, 57712.
What is 57712 in binary?
1110000101110000 (hexadecimal E170, octal 160560).
What is the square root of 57712?
About 240.2332, exactly 4√3607.
Is 57712 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 57712?
It is a composite number with 10 divisors.