The number 54084
54084 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4507. Divisors (12): 1, 2, 3, 4, 6, 12, 4507, 9014, 13521, 18028, 27042, 54084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54084 is composite. Its prime factorisation is
- 3
The divisors add up to 126224; without 54084 itself that is 72140, so 54084 is abundant (72140 is more than 54084). Euler's totient φ(54084) = 18024 numbers up to 54084 share no factor with it.
- 4
The digits of 54084 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54084 = 2^{2} \times 3 \times 4507 \]54084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126224 |
| Euler totient φ(n) | 18024 |
| Square | 2925079056 |
| Cube | 158199975664704 |
| Square root | 232.559670 (= 2√13521) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4084 × |
54084 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and eighty-four |
| Binary (base 2) | 1101001101000100 |
| Octal (base 8) | 151504 |
| Hexadecimal (base 16) | D344 |
| Base 3 | 2202012010 |
| As time | 54084 seconds = 15 h 1 min 24 s |
Is 54084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54084 ÷ 2 = 27042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54084 ÷ 3 = 18028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54084 ÷ 4 = 13521) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54084 ÷ 6 = 9014) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54084 ÷ 12 = 4507) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54084 a prime number?
No. 54084 = × 3 × 4507, so it is divisible by 2.
What are the factors of 54084?
1, 2, 3, 4, 6, 12, 4507, 9014, 13521, 18028, 27042, 54084.
What is 54084 in binary?
1101001101000100 (hexadecimal D344, octal 151504).
What is the square root of 54084?
About 232.5597, exactly 2√13521.
Is 54084 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54084?
It is a composite number with 12 divisors.