The number 54304
54304 is a composite number with 12 divisors. Its prime factorisation is × 1697. Divisors (12): 1, 2, 4, 8, 16, 32, 1697, 3394, 6788, 13576, 27152, 54304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54304: a Harshad number: divisible by its digit sum 16.
- 2
54304 is composite. Its prime factorisation is
- 3
The divisors add up to 106974; without 54304 itself that is 52670, so 54304 is deficient (52670 is less than 54304). Euler's totient φ(54304) = 27136 numbers up to 54304 share no factor with it.
- 4
The digits of 54304 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54304 = 2^{5} \times 1697 \]54304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106974 |
| Euler totient φ(n) | 27136 |
| Square | 2948924416 |
| Cube | 160138391486464 |
| Square root | 233.032187 (= 4√3394) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4304 × |
54304 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand three hundred and four |
| Binary (base 2) | 1101010000100000 |
| Octal (base 8) | 152040 |
| Hexadecimal (base 16) | D420 |
| Base 3 | 2202111021 |
| As time | 54304 seconds = 15 h 5 min 4 s |
Is 54304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54304 ÷ 2 = 27152) | 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 (54304 ÷ 4 = 13576) | 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 5) | 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 (54304 ÷ 8 = 6788) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54304 a prime number?
No. 54304 = × 1697, so it is divisible by 2.
What are the factors of 54304?
1, 2, 4, 8, 16, 32, 1697, 3394, 6788, 13576, 27152, 54304.
What is 54304 in binary?
1101010000100000 (hexadecimal D420, octal 152040).
What is the square root of 54304?
About 233.0322, exactly 4√3394.
Is 54304 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 54304?
54304 is a Harshad number: divisible by its digit sum 16.