The number 57164
57164 is a composite number with 12 divisors. Its prime factorisation is × 31 × 461. Divisors (12): 1, 2, 4, 31, 62, 124, 461, 922, 1844, 14291, 28582, 57164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57164 is composite. Its prime factorisation is
- 3
The divisors add up to 103488; without 57164 itself that is 46324, so 57164 is deficient (46324 is less than 57164). Euler's totient φ(57164) = 27600 numbers up to 57164 share no factor with it.
- 4
The digits of 57164 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57164 = 2^{2} \times 31 \times 461 \]57164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103488 |
| Euler totient φ(n) | 27600 |
| Square | 3267722896 |
| Cube | 186796111626944 |
| Square root | 239.089941 (= 2√14291) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7164 × |
57164 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and sixty-four |
| Binary (base 2) | 1101111101001100 |
| Octal (base 8) | 157514 |
| Hexadecimal (base 16) | DF4C |
| Base 3 | 2220102012 |
| As time | 57164 seconds = 15 h 52 min 44 s |
Is 57164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57164 ÷ 2 = 28582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57164 ÷ 4 = 14291) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57164 a prime number?
No. 57164 = × 31 × 461, so it is divisible by 2.
What are the factors of 57164?
1, 2, 4, 31, 62, 124, 461, 922, 1844, 14291, 28582, 57164.
What is 57164 in binary?
1101111101001100 (hexadecimal DF4C, octal 157514).
What is the square root of 57164?
About 239.0899, exactly 2√14291.
Is 57164 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57164?
It is a composite number with 12 divisors.