The number 57500
57500 is a composite number with 30 divisors. Its prime factorisation is × × 23. Divisors (30): 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250 … 57500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57500 is composite. Its prime factorisation is
- 3
The divisors add up to 131208; without 57500 itself that is 73708, so 57500 is abundant (73708 is more than 57500). Euler's totient φ(57500) = 22000 numbers up to 57500 share no factor with it.
- 4
The digits of 57500 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57500 = 2^{2} \times 5^{4} \times 23 \]57500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 131208 |
| Euler totient φ(n) | 22000 |
| Square | 3306250000 |
| Cube | 190109375000000 |
| Square root | 239.791576 (= 50√23) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.75 × |
57500 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred |
| Binary (base 2) | 1110000010011100 |
| Octal (base 8) | 160234 |
| Hexadecimal (base 16) | E09C |
| Base 3 | 2220212122 |
| As time | 57500 seconds = 15 h 58 min 20 s |
Is 57500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57500 ÷ 2 = 28750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57500 ÷ 4 = 14375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57500 ÷ 5 = 11500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57500 ÷ 10 = 5750) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57500 a prime number?
No. 57500 = × × 23, so it is divisible by 2.
What are the factors of 57500?
1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 625, 1150, 1250, 2300, 2500, 2875, 5750, 11500, 14375, 28750, 57500.
What is 57500 in binary?
1110000010011100 (hexadecimal E09C, octal 160234).
What is the square root of 57500?
About 239.7916, exactly 50√23.
Is 57500 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 57500?
It is a composite number with 30 divisors.