The number 57000
57000 is a composite number with 64 divisors. Its prime factorisation is × 3 × × 19. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38 … 57000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57000: a Harshad number: divisible by its digit sum 12.
- 2
57000 is composite. Its prime factorisation is
- 3
The divisors add up to 187200; without 57000 itself that is 130200, so 57000 is abundant (130200 is more than 57000). Euler's totient φ(57000) = 14400 numbers up to 57000 share no factor with it.
- 4
The digits of 57000 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57000 = 2^{3} \times 3 \times 5^{3} \times 19 \]57000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 187200 |
| Euler totient φ(n) | 14400 |
| Square | 3249000000 |
| Cube | 185193000000000 |
| Square root | 238.746728 (= 10√570) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7 × |
57000 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand |
| Binary (base 2) | 1101111010101000 |
| Octal (base 8) | 157250 |
| Hexadecimal (base 16) | DEA8 |
| Base 3 | 2220012010 |
| As time | 57000 seconds = 15 h 50 min 0 s |
Is 57000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57000 ÷ 2 = 28500) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57000 ÷ 3 = 19000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57000 ÷ 4 = 14250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57000 ÷ 5 = 11400) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57000 ÷ 6 = 9500) | 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 (57000 ÷ 8 = 7125) | 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 (57000 ÷ 10 = 5700) | 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 (57000 ÷ 12 = 4750) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57000 a prime number?
No. 57000 = × 3 × × 19, so it is divisible by 2.
What are the factors of 57000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 50, 57, 60, 75, 76, 95, 100, 114, 120, 125, 150, 152, 190, 200, 228, 250, 285, 300, 375, 380, 456, 475, 500, 570, 600, 750, 760, 950, 1000, 1140, 1425, 1500, 1900, 2280, 2375, 2850, 3000, 3800, 4750, 5700, 7125, 9500, 11400, 14250, 19000, 28500, 57000.
What is 57000 in binary?
1101111010101000 (hexadecimal DEA8, octal 157250).
What is the square root of 57000?
About 238.7467, exactly 10√570.
Is 57000 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 57000?
57000 is a Harshad number: divisible by its digit sum 12.