The number 6042
6042 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 53. Divisors (16): 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6042 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 6042 itself that is 6918, so 6042 is abundant (6918 is more than 6042). Euler's totient φ(6042) = 1872 numbers up to 6042 share no factor with it.
- 4
The digits of 6042 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6042 = 2 \times 3 \times 19 \times 53 \]
6042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 1872 |
| Square | 36505764 |
| Cube | 220567826088 |
| Square root | 77.730303 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 6.042 × |
6042 in other forms
| Form | Value |
|---|---|
| In words | six thousand and forty-two |
| Binary (base 2) | 1011110011010 |
| Octal (base 8) | 13632 |
| Hexadecimal (base 16) | 179A |
| Base 3 | 22021210 |
| As time | 6042 seconds = 1 h 40 min 42 s |
Is 6042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6042 ÷ 2 = 3021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6042 ÷ 3 = 2014) | 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 (6042 ÷ 6 = 1007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 3) | 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 3) | 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 6042 a prime number?
No. 6042 = 2 × 3 × 19 × 53, so it is divisible by 2.
What are the factors of 6042?
1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042.
What is 6042 in binary?
1011110011010 (hexadecimal 179A, octal 13632).
What is the square root of 6042?
About 77.7303.
Is 6042 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 6042?
It is a composite number with 16 divisors.