The number 60042
60042 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 10007. Divisors (8): 1, 2, 3, 6, 10007, 20014, 30021, 60042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60042 is composite. Its prime factorisation is
- 3
The divisors add up to 120096; without 60042 itself that is 60054, so 60042 is abundant (60054 is more than 60042). Euler's totient φ(60042) = 20012 numbers up to 60042 share no factor with it.
- 4
The digits of 60042 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60042 = 2 \times 3 \times 10007 \]
60042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 120096 |
| Euler totient φ(n) | 20012 |
| Square | 3605041764 |
| Cube | 216453917594088 |
| Square root | 245.034691 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.0042 × |
60042 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and forty-two |
| Binary (base 2) | 1110101010001010 |
| Octal (base 8) | 165212 |
| Hexadecimal (base 16) | EA8A |
| Base 3 | 10001100210 |
| As time | 60042 seconds = 16 h 40 min 42 s |
Is 60042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60042 ÷ 2 = 30021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60042 ÷ 3 = 20014) | 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 (60042 ÷ 6 = 10007) | 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 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 4) | 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 60042 a prime number?
No. 60042 = 2 × 3 × 10007, so it is divisible by 2.
What are the factors of 60042?
1, 2, 3, 6, 10007, 20014, 30021, 60042.
What is 60042 in binary?
1110101010001010 (hexadecimal EA8A, octal 165212).
What is the square root of 60042?
About 245.0347.
Is 60042 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60042?
It is a composite number with 8 divisors.