The number 57024
57024 is a composite number with 70 divisors. Its prime factorisation is × × 11. Divisors (70): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33 … 57024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57024: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
57024 is composite. Its prime factorisation is
- 3
The divisors add up to 184404; without 57024 itself that is 127380, so 57024 is abundant (127380 is more than 57024). Euler's totient φ(57024) = 17280 numbers up to 57024 share no factor with it.
- 4
The digits of 57024 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57024 = 2^{6} \times 3^{4} \times 11 \]57024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 70 |
| Sum of divisors | 184404 |
| Euler totient φ(n) | 17280 |
| Square | 3251736576 |
| Cube | 185427026509824 |
| Square root | 238.796985 (= 72√11) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7024 × |
57024 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and twenty-four |
| Binary (base 2) | 1101111011000000 |
| Octal (base 8) | 157300 |
| Hexadecimal (base 16) | DEC0 |
| Base 3 | 2220020000 |
| As time | 57024 seconds = 15 h 50 min 24 s |
Is 57024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57024 ÷ 2 = 28512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57024 ÷ 3 = 19008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57024 ÷ 4 = 14256) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57024 ÷ 6 = 9504) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (57024 ÷ 8 = 7128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57024 ÷ 9 = 6336) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57024 ÷ 11 = 5184) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57024 ÷ 12 = 4752) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57024 a prime number?
No. 57024 = × × 11, so it is divisible by 2.
What are the factors of 57024?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 192, 198, 216, 264, 288, 297, 324, 352, 396, 432, 528, 576, 594, 648, 704, 792, 864, 891, 1056, 1188, 1296, 1584, 1728, 1782, 2112, 2376, 2592, 3168, 3564, 4752, 5184, 6336, 7128, 9504, 14256, 19008, 28512, 57024.
What is 57024 in binary?
1101111011000000 (hexadecimal DEC0, octal 157300).
What is the square root of 57024?
About 238.7970, exactly 72√11.
Is 57024 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57024?
57024 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.