The number 57770
57770 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 53 × 109. Divisors (16): 1, 2, 5, 10, 53, 106, 109, 218, 265, 530, 545, 1090, 5777, 11554, 28885, 57770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57770 is composite. Its prime factorisation is
- 3
The divisors add up to 106920; without 57770 itself that is 49150, so 57770 is deficient (49150 is less than 57770). Euler's totient φ(57770) = 22464 numbers up to 57770 share no factor with it.
- 4
The digits of 57770 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57770 = 2 \times 5 \times 53 \times 109 \]
57770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106920 |
| Euler totient φ(n) | 22464 |
| Square | 3337372900 |
| Cube | 192800032433000 |
| Square root | 240.353906 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.777 × |
57770 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and seventy |
| Binary (base 2) | 1110000110101010 |
| Octal (base 8) | 160652 |
| Hexadecimal (base 16) | E1AA |
| Base 3 | 2221020122 |
| As time | 57770 seconds = 16 h 2 min 50 s |
Is 57770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57770 ÷ 2 = 28885) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57770 ÷ 5 = 11554) | 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 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 2) | 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 (57770 ÷ 10 = 5777) | 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 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57770 a prime number?
No. 57770 = 2 × 5 × 53 × 109, so it is divisible by 2.
What are the factors of 57770?
1, 2, 5, 10, 53, 106, 109, 218, 265, 530, 545, 1090, 5777, 11554, 28885, 57770.
What is 57770 in binary?
1110000110101010 (hexadecimal E1AA, octal 160652).
What is the square root of 57770?
About 240.3539.
Is 57770 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 57770?
It is a composite number with 16 divisors.