The number 54904
54904 is a composite number with 8 divisors. Its prime factorisation is × 6863. Divisors (8): 1, 2, 4, 8, 6863, 13726, 27452, 54904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54904 is composite. Its prime factorisation is
- 3
The divisors add up to 102960; without 54904 itself that is 48056, so 54904 is deficient (48056 is less than 54904). Euler's totient φ(54904) = 27448 numbers up to 54904 share no factor with it.
- 4
The digits of 54904 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54904 = 2^{3} \times 6863 \]54904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 102960 |
| Euler totient φ(n) | 27448 |
| Square | 3014449216 |
| Cube | 165505319755264 |
| Square root | 234.316026 (= 2√13726) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.4904 × |
54904 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and four |
| Binary (base 2) | 1101011001111000 |
| Octal (base 8) | 153170 |
| Hexadecimal (base 16) | D678 |
| Base 3 | 2210022111 |
| As time | 54904 seconds = 15 h 15 min 4 s |
Is 54904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54904 ÷ 2 = 27452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54904 ÷ 4 = 13726) | 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 | No (remainder 4) | 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 | Yes (54904 ÷ 8 = 6863) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54904 a prime number?
No. 54904 = × 6863, so it is divisible by 2.
What are the factors of 54904?
1, 2, 4, 8, 6863, 13726, 27452, 54904.
What is 54904 in binary?
1101011001111000 (hexadecimal D678, octal 153170).
What is the square root of 54904?
About 234.3160, exactly 2√13726.
Is 54904 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 54904?
It is a composite number with 8 divisors.