The number 57180
57180 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 953. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 953, 1906, 2859, 3812 … 57180.
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How to work it out
- 1
What is special about 57180: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57180 is composite. Its prime factorisation is
- 3
The divisors add up to 160272; without 57180 itself that is 103092, so 57180 is abundant (103092 is more than 57180). Euler's totient φ(57180) = 15232 numbers up to 57180 share no factor with it.
- 4
The digits of 57180 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57180 = 2^{2} \times 3 \times 5 \times 953 \]57180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 160272 |
| Euler totient φ(n) | 15232 |
| Square | 3269552400 |
| Cube | 186953006232000 |
| Square root | 239.123399 (= 2√14295) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.718 × |
57180 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and eighty |
| Binary (base 2) | 1101111101011100 |
| Octal (base 8) | 157534 |
| Hexadecimal (base 16) | DF5C |
| Base 3 | 2220102210 |
| As time | 57180 seconds = 15 h 53 min 0 s |
Is 57180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57180 ÷ 2 = 28590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57180 ÷ 3 = 19060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57180 ÷ 4 = 14295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57180 ÷ 5 = 11436) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57180 ÷ 6 = 9530) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57180 ÷ 10 = 5718) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57180 ÷ 12 = 4765) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57180 a prime number?
No. 57180 = × 3 × 5 × 953, so it is divisible by 2.
What are the factors of 57180?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 953, 1906, 2859, 3812, 4765, 5718, 9530, 11436, 14295, 19060, 28590, 57180.
What is 57180 in binary?
1101111101011100 (hexadecimal DF5C, octal 157534).
What is the square root of 57180?
About 239.1234, exactly 2√14295.
Is 57180 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57180?
57180 is a happy number: repeatedly adding the squares of its digits reaches 1.