The number 57321
57321 is a composite number with 16 divisors. Its prime factorisation is × 11 × 193. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 193, 297, 579, 1737, 2123, 5211, 6369, 19107, 57321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57321 is composite. Its prime factorisation is
- 3
The divisors add up to 93120; without 57321 itself that is 35799, so 57321 is deficient (35799 is less than 57321). Euler's totient φ(57321) = 34560 numbers up to 57321 share no factor with it.
- 4
The digits of 57321 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57321 = 3^{3} \times 11 \times 193 \]57321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93120 |
| Euler totient φ(n) | 34560 |
| Square | 3285697041 |
| Cube | 188339440087161 |
| Square root | 239.418044 (= 3√6369) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7321 × |
57321 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and twenty-one |
| Binary (base 2) | 1101111111101001 |
| Octal (base 8) | 157751 |
| Hexadecimal (base 16) | DFE9 |
| Base 3 | 2220122000 |
| As time | 57321 seconds = 15 h 55 min 21 s |
Is 57321 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 (57321 ÷ 3 = 19107) | 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 1) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57321 ÷ 9 = 6369) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57321 ÷ 11 = 5211) | 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 57321 a prime number?
No. 57321 = × 11 × 193, so it is divisible by 3.
What are the factors of 57321?
1, 3, 9, 11, 27, 33, 99, 193, 297, 579, 1737, 2123, 5211, 6369, 19107, 57321.
What is 57321 in binary?
1101111111101001 (hexadecimal DFE9, octal 157751).
What is the square root of 57321?
About 239.4180, exactly 3√6369.
Is 57321 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57321?
It is a composite number with 16 divisors.