The number 57213
57213 is a composite number with 16 divisors. Its prime factorisation is × 13 × 163. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 163, 351, 489, 1467, 2119, 4401, 6357, 19071, 57213.
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How to work it out
- 1
57213 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57213 is composite. Its prime factorisation is
- 3
The divisors add up to 91840; without 57213 itself that is 34627, so 57213 is deficient (34627 is less than 57213). Euler's totient φ(57213) = 34992 numbers up to 57213 share no factor with it.
- 4
The digits of 57213 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
\[ 57213 = 3^{3} \times 13 \times 163 \]57213 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91840 |
| Euler totient φ(n) | 34992 |
| Square | 3273327369 |
| Cube | 187276878762597 |
| Square root | 239.192391 (= 3√6357) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7213 × |
57213 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and thirteen |
| Binary (base 2) | 1101111101111101 |
| Octal (base 8) | 157575 |
| Hexadecimal (base 16) | DF7D |
| Base 3 | 2220111000 |
| As time | 57213 seconds = 15 h 53 min 33 s |
Is 57213 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 (57213 ÷ 3 = 19071) | 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 3) | 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 2) | 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 (57213 ÷ 9 = 6357) | 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 | No (remainder 2) | 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 57213 a prime number?
No. 57213 = × 13 × 163, so it is divisible by 3.
What are the factors of 57213?
1, 3, 9, 13, 27, 39, 117, 163, 351, 489, 1467, 2119, 4401, 6357, 19071, 57213.
What is 57213 in binary?
1101111101111101 (hexadecimal DF7D, octal 157575).
What is the square root of 57213?
About 239.1924, exactly 3√6357.
Is 57213 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57213?
It is a composite number with 16 divisors.