The number 55296
55296 is a composite number with 48 divisors. Its prime factorisation is × . Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 55296.
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How to work it out
- 1
What is special about 55296: a Harshad number: divisible by its digit sum 27.
- 2
55296 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 55296 itself that is 108504, so 55296 is abundant (108504 is more than 55296). Euler's totient φ(55296) = 18432 numbers up to 55296 share no factor with it.
- 4
The digits of 55296 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55296 = 2^{11} \times 3^{3} \]55296 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 18432 |
| Square | 3057647616 |
| Cube | 169075682574336 |
| Square root | 235.151015 (= 96√6) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5296 × |
55296 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and ninety-six |
| Binary (base 2) | 1101100000000000 |
| Octal (base 8) | 154000 |
| Hexadecimal (base 16) | D800 |
| Base 3 | 2210212000 |
| As time | 55296 seconds = 15 h 21 min 36 s |
Is 55296 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55296 ÷ 2 = 27648) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55296 ÷ 3 = 18432) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55296 ÷ 4 = 13824) | 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 (55296 ÷ 6 = 9216) | 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 (55296 ÷ 8 = 6912) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55296 ÷ 9 = 6144) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55296 ÷ 12 = 4608) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55296 a prime number?
No. 55296 = × , so it is divisible by 2.
What are the factors of 55296?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 512, 576, 768, 864, 1024, 1152, 1536, 1728, 2048, 2304, 3072, 3456, 4608, 6144, 6912, 9216, 13824, 18432, 27648, 55296.
What is 55296 in binary?
1101100000000000 (hexadecimal D800, octal 154000).
What is the square root of 55296?
About 235.1510, exactly 96√6.
Is 55296 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55296?
55296 is a Harshad number: divisible by its digit sum 27.