The number 57376
57376 is a composite number with 24 divisors. Its prime factorisation is × 11 × 163. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 163, 176, 326, 352, 652, 1304 … 57376.
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How to work it out
- 1
57376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57376 is composite. Its prime factorisation is
- 3
The divisors add up to 123984; without 57376 itself that is 66608, so 57376 is abundant (66608 is more than 57376). Euler's totient φ(57376) = 25920 numbers up to 57376 share no factor with it.
- 4
The digits of 57376 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57376 = 2^{5} \times 11 \times 163 \]57376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123984 |
| Euler totient φ(n) | 25920 |
| Square | 3292005376 |
| Cube | 188882100453376 |
| Square root | 239.532879 (= 4√3586) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7376 × |
57376 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and seventy-six |
| Binary (base 2) | 1110000000100000 |
| Octal (base 8) | 160040 |
| Hexadecimal (base 16) | E020 |
| Base 3 | 2220201001 |
| As time | 57376 seconds = 15 h 56 min 16 s |
Is 57376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57376 ÷ 2 = 28688) | 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 (57376 ÷ 4 = 14344) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (57376 ÷ 8 = 7172) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57376 ÷ 11 = 5216) | 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 57376 a prime number?
No. 57376 = × 11 × 163, so it is divisible by 2.
What are the factors of 57376?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 163, 176, 326, 352, 652, 1304, 1793, 2608, 3586, 5216, 7172, 14344, 28688, 57376.
What is 57376 in binary?
1110000000100000 (hexadecimal E020, octal 160040).
What is the square root of 57376?
About 239.5329, exactly 4√3586.
Is 57376 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57376?
It is a composite number with 24 divisors.