The number 57138
57138 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 89 × 107. Divisors (16): 1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569, 57138.
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How to work it out
- 1
57138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57138 is composite. Its prime factorisation is
- 3
The divisors add up to 116640; without 57138 itself that is 59502, so 57138 is abundant (59502 is more than 57138). Euler's totient φ(57138) = 18656 numbers up to 57138 share no factor with it.
- 4
The digits of 57138 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57138 = 2 \times 3 \times 89 \times 107 \]
57138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 116640 |
| Euler totient φ(n) | 18656 |
| Square | 3264751044 |
| Cube | 186541345152072 |
| Square root | 239.035562 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.7138 × |
57138 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and thirty-eight |
| Binary (base 2) | 1101111100110010 |
| Octal (base 8) | 157462 |
| Hexadecimal (base 16) | DF32 |
| Base 3 | 2220101020 |
| As time | 57138 seconds = 15 h 52 min 18 s |
Is 57138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57138 ÷ 2 = 28569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57138 ÷ 3 = 19046) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (57138 ÷ 6 = 9523) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57138 a prime number?
No. 57138 = 2 × 3 × 89 × 107, so it is divisible by 2.
What are the factors of 57138?
1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569, 57138.
What is 57138 in binary?
1101111100110010 (hexadecimal DF32, octal 157462).
What is the square root of 57138?
About 239.0356.
Is 57138 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57138?
It is a composite number with 16 divisors.