The number 57112
57112 is a composite number with 24 divisors. Its prime factorisation is × × 59. Divisors (24): 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 121, 236, 242, 472, 484, 649 … 57112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57112 is composite. Its prime factorisation is
- 3
The divisors add up to 119700; without 57112 itself that is 62588, so 57112 is abundant (62588 is more than 57112). Euler's totient φ(57112) = 25520 numbers up to 57112 share no factor with it.
- 4
The digits of 57112 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57112 = 2^{3} \times 11^{2} \times 59 \]57112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119700 |
| Euler totient φ(n) | 25520 |
| Square | 3261780544 |
| Cube | 186286810428928 |
| Square root | 238.981171 (= 22√118) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7112 × |
57112 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and twelve |
| Binary (base 2) | 1101111100011000 |
| Octal (base 8) | 157430 |
| Hexadecimal (base 16) | DF18 |
| Base 3 | 2220100021 |
| As time | 57112 seconds = 15 h 51 min 52 s |
Is 57112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57112 ÷ 2 = 28556) | 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 (57112 ÷ 4 = 14278) | 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 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 (57112 ÷ 8 = 7139) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (57112 ÷ 11 = 5192) | 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 57112 a prime number?
No. 57112 = × × 59, so it is divisible by 2.
What are the factors of 57112?
1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 121, 236, 242, 472, 484, 649, 968, 1298, 2596, 5192, 7139, 14278, 28556, 57112.
What is 57112 in binary?
1101111100011000 (hexadecimal DF18, octal 157430).
What is the square root of 57112?
About 238.9812, exactly 22√118.
Is 57112 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 57112?
It is a composite number with 24 divisors.