The number 57042
57042 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3169. Divisors (12): 1, 2, 3, 6, 9, 18, 3169, 6338, 9507, 19014, 28521, 57042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57042: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
57042 is composite. Its prime factorisation is
- 3
The divisors add up to 123630; without 57042 itself that is 66588, so 57042 is abundant (66588 is more than 57042). Euler's totient φ(57042) = 19008 numbers up to 57042 share no factor with it.
- 4
The digits of 57042 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57042 = 2 \times 3^{2} \times 3169 \]57042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123630 |
| Euler totient φ(n) | 19008 |
| Square | 3253789764 |
| Cube | 185602675718088 |
| Square root | 238.834671 (= 3√6338) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7042 × |
57042 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and forty-two |
| Binary (base 2) | 1101111011010010 |
| Octal (base 8) | 157322 |
| Hexadecimal (base 16) | DED2 |
| Base 3 | 2220020200 |
| As time | 57042 seconds = 15 h 50 min 42 s |
Is 57042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57042 ÷ 2 = 28521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57042 ÷ 3 = 19014) | 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 (57042 ÷ 6 = 9507) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57042 ÷ 9 = 6338) | 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 7) | 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 57042 a prime number?
No. 57042 = 2 × × 3169, so it is divisible by 2.
What are the factors of 57042?
1, 2, 3, 6, 9, 18, 3169, 6338, 9507, 19014, 28521, 57042.
What is 57042 in binary?
1101111011010010 (hexadecimal DED2, octal 157322).
What is the square root of 57042?
About 238.8347, exactly 3√6338.
Is 57042 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57042?
57042 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.