The number 57132
57132 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108 … 57132.
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How to work it out
- 1
What is special about 57132: a Harshad number: divisible by its digit sum 18.
- 2
57132 is composite. Its prime factorisation is
- 3
The divisors add up to 154840; without 57132 itself that is 97708, so 57132 is abundant (97708 is more than 57132). Euler's totient φ(57132) = 18216 numbers up to 57132 share no factor with it.
- 4
The digits of 57132 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57132 = 2^{2} \times 3^{3} \times 23^{2} \]57132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 154840 |
| Euler totient φ(n) | 18216 |
| Square | 3264065424 |
| Cube | 186482585803968 |
| Square root | 239.023011 (= 138√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.7132 × |
57132 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and thirty-two |
| Binary (base 2) | 1101111100101100 |
| Octal (base 8) | 157454 |
| Hexadecimal (base 16) | DF2C |
| Base 3 | 2220101000 |
| As time | 57132 seconds = 15 h 52 min 12 s |
Is 57132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57132 ÷ 2 = 28566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57132 ÷ 3 = 19044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57132 ÷ 4 = 14283) | 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 | Yes (57132 ÷ 6 = 9522) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57132 ÷ 9 = 6348) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57132 ÷ 12 = 4761) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57132 a prime number?
No. 57132 = × × , so it is divisible by 2.
What are the factors of 57132?
1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 529, 621, 828, 1058, 1242, 1587, 2116, 2484, 3174, 4761, 6348, 9522, 14283, 19044, 28566, 57132.
What is 57132 in binary?
1101111100101100 (hexadecimal DF2C, octal 157454).
What is the square root of 57132?
About 239.0230, exactly 138√3.
Is 57132 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57132?
57132 is a Harshad number: divisible by its digit sum 18.