The number 55328
55328 is a composite number with 48 divisors. Its prime factorisation is × 7 × 13 × 19. Divisors (48): 1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 32, 38, 52, 56, 76 … 55328.
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How to work it out
- 1
55328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55328 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 55328 itself that is 85792, so 55328 is abundant (85792 is more than 55328). Euler's totient φ(55328) = 20736 numbers up to 55328 share no factor with it.
- 4
The digits of 55328 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55328 = 2^{5} \times 7 \times 13 \times 19 \]55328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 20736 |
| Square | 3061187584 |
| Cube | 169369386647552 |
| Square root | 235.219047 (= 4√3458) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5328 × |
55328 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and twenty-eight |
| Binary (base 2) | 1101100000100000 |
| Octal (base 8) | 154040 |
| Hexadecimal (base 16) | D820 |
| Base 3 | 2210220012 |
| As time | 55328 seconds = 15 h 22 min 8 s |
Is 55328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55328 ÷ 2 = 27664) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55328 ÷ 4 = 13832) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55328 ÷ 7 = 7904) | 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 (55328 ÷ 8 = 6916) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55328 a prime number?
No. 55328 = × 7 × 13 × 19, so it is divisible by 2.
What are the factors of 55328?
1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 32, 38, 52, 56, 76, 91, 104, 112, 133, 152, 182, 208, 224, 247, 266, 304, 364, 416, 494, 532, 608, 728, 988, 1064, 1456, 1729, 1976, 2128, 2912, 3458, 3952, 4256, 6916, 7904, 13832, 27664, 55328.
What is 55328 in binary?
1101100000100000 (hexadecimal D820, octal 154040).
What is the square root of 55328?
About 235.2190, exactly 4√3458.
Is 55328 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55328?
It is a composite number with 48 divisors.