The number 57700
57700 is a composite number with 18 divisors. Its prime factorisation is × × 577. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 577, 1154, 2308, 2885, 5770, 11540, 14425 … 57700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57700 is composite. Its prime factorisation is
- 3
The divisors add up to 125426; without 57700 itself that is 67726, so 57700 is abundant (67726 is more than 57700). Euler's totient φ(57700) = 23040 numbers up to 57700 share no factor with it.
- 4
The digits of 57700 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57700 = 2^{2} \times 5^{2} \times 577 \]57700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 125426 |
| Euler totient φ(n) | 23040 |
| Square | 3329290000 |
| Cube | 192100033000000 |
| Square root | 240.208243 (= 10√577) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.77 × |
57700 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred |
| Binary (base 2) | 1110000101100100 |
| Octal (base 8) | 160544 |
| Hexadecimal (base 16) | E164 |
| Base 3 | 2221011001 |
| As time | 57700 seconds = 16 h 1 min 40 s |
Is 57700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57700 ÷ 2 = 28850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57700 ÷ 4 = 14425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57700 ÷ 5 = 11540) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57700 ÷ 10 = 5770) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57700 a prime number?
No. 57700 = × × 577, so it is divisible by 2.
What are the factors of 57700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 577, 1154, 2308, 2885, 5770, 11540, 14425, 28850, 57700.
What is 57700 in binary?
1110000101100100 (hexadecimal E164, octal 160544).
What is the square root of 57700?
About 240.2082, exactly 10√577.
Is 57700 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 57700?
It is a composite number with 18 divisors.