The number 57942
57942 is a composite number with 32 divisors. Its prime factorisation is 2 × × 29 × 37. Divisors (32): 1, 2, 3, 6, 9, 18, 27, 29, 37, 54, 58, 74, 87, 111, 174, 222 … 57942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57942: a Harshad number: divisible by its digit sum 27.
- 2
57942 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 57942 itself that is 78858, so 57942 is abundant (78858 is more than 57942). Euler's totient φ(57942) = 18144 numbers up to 57942 share no factor with it.
- 4
The digits of 57942 add up to 27, 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
\[ 57942 = 2 \times 3^{3} \times 29 \times 37 \]57942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 18144 |
| Square | 3357275364 |
| Cube | 194527249140888 |
| Square root | 240.711446 (= 3√6438) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7942 × |
57942 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and forty-two |
| Binary (base 2) | 1110001001010110 |
| Octal (base 8) | 161126 |
| Hexadecimal (base 16) | E256 |
| Base 3 | 2221111000 |
| As time | 57942 seconds = 16 h 5 min 42 s |
Is 57942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57942 ÷ 2 = 28971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57942 ÷ 3 = 19314) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (57942 ÷ 6 = 9657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57942 ÷ 9 = 6438) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57942 a prime number?
No. 57942 = 2 × × 29 × 37, so it is divisible by 2.
What are the factors of 57942?
1, 2, 3, 6, 9, 18, 27, 29, 37, 54, 58, 74, 87, 111, 174, 222, 261, 333, 522, 666, 783, 999, 1073, 1566, 1998, 2146, 3219, 6438, 9657, 19314, 28971, 57942.
What is 57942 in binary?
1110001001010110 (hexadecimal E256, octal 161126).
What is the square root of 57942?
About 240.7114, exactly 3√6438.
Is 57942 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57942?
57942 is a Harshad number: divisible by its digit sum 27.