The number 57364
57364 is a composite number with 6 divisors. Its prime factorisation is × 14341. Divisors (6): 1, 2, 4, 14341, 28682, 57364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57364 is composite. Its prime factorisation is
- 3
The divisors add up to 100394; without 57364 itself that is 43030, so 57364 is deficient (43030 is less than 57364). Euler's totient φ(57364) = 28680 numbers up to 57364 share no factor with it.
- 4
The digits of 57364 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57364 = 2^{2} \times 14341 \]57364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 100394 |
| Euler totient φ(n) | 28680 |
| Square | 3290628496 |
| Cube | 188763613044544 |
| Square root | 239.507829 (= 2√14341) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7364 × |
57364 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and sixty-four |
| Binary (base 2) | 1110000000010100 |
| Octal (base 8) | 160024 |
| Hexadecimal (base 16) | E014 |
| Base 3 | 2220200121 |
| As time | 57364 seconds = 15 h 56 min 4 s |
Is 57364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57364 ÷ 2 = 28682) | 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 | Yes (57364 ÷ 4 = 14341) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57364 a prime number?
No. 57364 = × 14341, so it is divisible by 2.
What are the factors of 57364?
1, 2, 4, 14341, 28682, 57364.
What is 57364 in binary?
1110000000010100 (hexadecimal E014, octal 160024).
What is the square root of 57364?
About 239.5078, exactly 2√14341.
Is 57364 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 57364?
It is a composite number with 6 divisors.