The number 54042
54042 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 9007. Divisors (8): 1, 2, 3, 6, 9007, 18014, 27021, 54042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54042 is composite. Its prime factorisation is
- 3
The divisors add up to 108096; without 54042 itself that is 54054, so 54042 is abundant (54054 is more than 54042). Euler's totient φ(54042) = 18012 numbers up to 54042 share no factor with it.
- 4
The digits of 54042 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54042 = 2 \times 3 \times 9007 \]
54042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108096 |
| Euler totient φ(n) | 18012 |
| Square | 2920537764 |
| Cube | 157831701842088 |
| Square root | 232.469353 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4042 × |
54042 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and forty-two |
| Binary (base 2) | 1101001100011010 |
| Octal (base 8) | 151432 |
| Hexadecimal (base 16) | D31A |
| Base 3 | 2202010120 |
| As time | 54042 seconds = 15 h 0 min 42 s |
Is 54042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54042 ÷ 2 = 27021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54042 ÷ 3 = 18014) | 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 (54042 ÷ 6 = 9007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 10) | 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 54042 a prime number?
No. 54042 = 2 × 3 × 9007, so it is divisible by 2.
What are the factors of 54042?
1, 2, 3, 6, 9007, 18014, 27021, 54042.
What is 54042 in binary?
1101001100011010 (hexadecimal D31A, octal 151432).
What is the square root of 54042?
About 232.4694.
Is 54042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 54042?
It is a composite number with 8 divisors.