The number 54816
54816 is a composite number with 24 divisors. Its prime factorisation is × 3 × 571. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 571, 1142, 1713, 2284 … 54816.
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How to work it out
- 1
What is special about 54816: a Harshad number: divisible by its digit sum 24.
- 2
54816 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 54816 itself that is 89328, so 54816 is abundant (89328 is more than 54816). Euler's totient φ(54816) = 18240 numbers up to 54816 share no factor with it.
- 4
The digits of 54816 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54816 = 2^{5} \times 3 \times 571 \]54816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 18240 |
| Square | 3004793856 |
| Cube | 164710780010496 |
| Square root | 234.128170 (= 4√3426) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.4816 × |
54816 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and sixteen |
| Binary (base 2) | 1101011000100000 |
| Octal (base 8) | 153040 |
| Hexadecimal (base 16) | D620 |
| Base 3 | 2210012020 |
| As time | 54816 seconds = 15 h 13 min 36 s |
Is 54816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54816 ÷ 2 = 27408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54816 ÷ 3 = 18272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54816 ÷ 4 = 13704) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54816 ÷ 6 = 9136) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (54816 ÷ 8 = 6852) | 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 6) | 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 | Yes (54816 ÷ 12 = 4568) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54816 a prime number?
No. 54816 = × 3 × 571, so it is divisible by 2.
What are the factors of 54816?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 571, 1142, 1713, 2284, 3426, 4568, 6852, 9136, 13704, 18272, 27408, 54816.
What is 54816 in binary?
1101011000100000 (hexadecimal D620, octal 153040).
What is the square root of 54816?
About 234.1282, exactly 4√3426.
Is 54816 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 54816?
54816 is a Harshad number: divisible by its digit sum 24.