The number 54804
54804 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4567. Divisors (12): 1, 2, 3, 4, 6, 12, 4567, 9134, 13701, 18268, 27402, 54804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54804 is composite. Its prime factorisation is
- 3
The divisors add up to 127904; without 54804 itself that is 73100, so 54804 is abundant (73100 is more than 54804). Euler's totient φ(54804) = 18264 numbers up to 54804 share no factor with it.
- 4
The digits of 54804 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54804 = 2^{2} \times 3 \times 4567 \]54804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 127904 |
| Euler totient φ(n) | 18264 |
| Square | 3003478416 |
| Cube | 164602631110464 |
| Square root | 234.102542 (= 2√13701) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.4804 × |
54804 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and four |
| Binary (base 2) | 1101011000010100 |
| Octal (base 8) | 153024 |
| Hexadecimal (base 16) | D614 |
| Base 3 | 2210011210 |
| As time | 54804 seconds = 15 h 13 min 24 s |
Is 54804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54804 ÷ 2 = 27402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54804 ÷ 3 = 18268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54804 ÷ 4 = 13701) | 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 (54804 ÷ 6 = 9134) | 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 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54804 ÷ 12 = 4567) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54804 a prime number?
No. 54804 = × 3 × 4567, so it is divisible by 2.
What are the factors of 54804?
1, 2, 3, 4, 6, 12, 4567, 9134, 13701, 18268, 27402, 54804.
What is 54804 in binary?
1101011000010100 (hexadecimal D614, octal 153024).
What is the square root of 54804?
About 234.1025, exactly 2√13701.
Is 54804 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54804?
It is a composite number with 12 divisors.