The number 57992
57992 is a composite number with 16 divisors. Its prime factorisation is × 11 × 659. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 659, 1318, 2636, 5272, 7249, 14498, 28996, 57992.
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How to work it out
- 1
57992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57992 is composite. Its prime factorisation is
- 3
The divisors add up to 118800; without 57992 itself that is 60808, so 57992 is abundant (60808 is more than 57992). Euler's totient φ(57992) = 26320 numbers up to 57992 share no factor with it.
- 4
The digits of 57992 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57992 = 2^{3} \times 11 \times 659 \]57992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118800 |
| Euler totient φ(n) | 26320 |
| Square | 3363072064 |
| Cube | 195031275135488 |
| Square root | 240.815282 (= 2√14498) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7992 × |
57992 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and ninety-two |
| Binary (base 2) | 1110001010001000 |
| Octal (base 8) | 161210 |
| Hexadecimal (base 16) | E288 |
| Base 3 | 2221112212 |
| As time | 57992 seconds = 16 h 6 min 32 s |
Is 57992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57992 ÷ 2 = 28996) | 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 (57992 ÷ 4 = 14498) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (57992 ÷ 8 = 7249) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57992 ÷ 11 = 5272) | 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 57992 a prime number?
No. 57992 = × 11 × 659, so it is divisible by 2.
What are the factors of 57992?
1, 2, 4, 8, 11, 22, 44, 88, 659, 1318, 2636, 5272, 7249, 14498, 28996, 57992.
What is 57992 in binary?
1110001010001000 (hexadecimal E288, octal 161210).
What is the square root of 57992?
About 240.8153, exactly 2√14498.
Is 57992 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 57992?
It is a composite number with 16 divisors.