The number 57200
57200 is a composite number with 60 divisors. Its prime factorisation is × × 11 × 13. Divisors (60): 1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 25, 26, 40, 44, 50 … 57200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57200 is composite. Its prime factorisation is
- 3
The divisors add up to 161448; without 57200 itself that is 104248, so 57200 is abundant (104248 is more than 57200). Euler's totient φ(57200) = 19200 numbers up to 57200 share no factor with it.
- 4
The digits of 57200 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57200 = 2^{4} \times 5^{2} \times 11 \times 13 \]57200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 161448 |
| Euler totient φ(n) | 19200 |
| Square | 3271840000 |
| Cube | 187149248000000 |
| Square root | 239.165215 (= 20√143) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.72 × |
57200 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred |
| Binary (base 2) | 1101111101110000 |
| Octal (base 8) | 157560 |
| Hexadecimal (base 16) | DF70 |
| Base 3 | 2220110112 |
| As time | 57200 seconds = 15 h 53 min 20 s |
Is 57200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57200 ÷ 2 = 28600) | 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 (57200 ÷ 4 = 14300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57200 ÷ 5 = 11440) | 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 3) | 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 (57200 ÷ 8 = 7150) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57200 ÷ 10 = 5720) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57200 ÷ 11 = 5200) | 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 57200 a prime number?
No. 57200 = × × 11 × 13, so it is divisible by 2.
What are the factors of 57200?
1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 25, 26, 40, 44, 50, 52, 55, 65, 80, 88, 100, 104, 110, 130, 143, 176, 200, 208, 220, 260, 275, 286, 325, 400, 440, 520, 550, 572, 650, 715, 880, 1040, 1100, 1144, 1300, 1430, 2200, 2288, 2600, 2860, 3575, 4400, 5200, 5720, 7150, 11440, 14300, 28600, 57200.
What is 57200 in binary?
1101111101110000 (hexadecimal DF70, octal 157560).
What is the square root of 57200?
About 239.1652, exactly 20√143.
Is 57200 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 57200?
It is a composite number with 60 divisors.