The number 57343
57343 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 401. Divisors (8): 1, 11, 13, 143, 401, 4411, 5213, 57343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57343 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57343 is composite. Its prime factorisation is
- 3
The divisors add up to 67536; without 57343 itself that is 10193, so 57343 is deficient (10193 is less than 57343). Euler's totient φ(57343) = 48000 numbers up to 57343 share no factor with it.
- 4
The digits of 57343 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57343 = 11 \times 13 \times 401 \]
57343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67536 |
| Euler totient φ(n) | 48000 |
| Square | 3288219649 |
| Cube | 188556379332607 |
| Square root | 239.463985 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7343 × |
57343 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and forty-three |
| Binary (base 2) | 1101111111111111 |
| Octal (base 8) | 157777 |
| Hexadecimal (base 16) | DFFF |
| Base 3 | 2220122211 |
| As time | 57343 seconds = 15 h 55 min 43 s |
Is 57343 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57343 ÷ 11 = 5213) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57343 a prime number?
No. 57343 = 11 × 13 × 401, so it is divisible by 11.
What are the factors of 57343?
1, 11, 13, 143, 401, 4411, 5213, 57343.
What is 57343 in binary?
1101111111111111 (hexadecimal DFFF, octal 157777).
What is the square root of 57343?
About 239.4640.
Is 57343 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 57343?
It is a composite number with 8 divisors.