The number 57357
57357 is a composite number with 6 divisors. Its prime factorisation is × 6373. Divisors (6): 1, 3, 9, 6373, 19119, 57357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57357 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57357 is composite. Its prime factorisation is
- 3
The divisors add up to 82862; without 57357 itself that is 25505, so 57357 is deficient (25505 is less than 57357). Euler's totient φ(57357) = 38232 numbers up to 57357 share no factor with it.
- 4
The digits of 57357 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57357 = 3^{2} \times 6373 \]57357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 82862 |
| Euler totient φ(n) | 38232 |
| Square | 3289825449 |
| Cube | 188694518278293 |
| Square root | 239.493215 (= 3√6373) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7357 × |
57357 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and fifty-seven |
| Binary (base 2) | 1110000000001101 |
| Octal (base 8) | 160015 |
| Hexadecimal (base 16) | E00D |
| Base 3 | 2220200100 |
| As time | 57357 seconds = 15 h 55 min 57 s |
Is 57357 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57357 ÷ 3 = 19119) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57357 ÷ 9 = 6373) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57357 a prime number?
No. 57357 = × 6373, so it is divisible by 3.
What are the factors of 57357?
1, 3, 9, 6373, 19119, 57357.
What is 57357 in binary?
1110000000001101 (hexadecimal E00D, octal 160015).
What is the square root of 57357?
About 239.4932, exactly 3√6373.
Is 57357 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57357?
It is a composite number with 6 divisors.