The number 55385
55385 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 19 × 53. Divisors (16): 1, 5, 11, 19, 53, 55, 95, 209, 265, 583, 1007, 1045, 2915, 5035, 11077, 55385.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55385 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55385 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 55385 itself that is 22375, so 55385 is deficient (22375 is less than 55385). Euler's totient φ(55385) = 37440 numbers up to 55385 share no factor with it.
- 4
The digits of 55385 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55385 = 5 \times 11 \times 19 \times 53 \]
55385 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 37440 |
| Square | 3067498225 |
| Cube | 169893389191625 |
| Square root | 235.340179 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5385 × |
55385 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and eighty-five |
| Binary (base 2) | 1101100001011001 |
| Octal (base 8) | 154131 |
| Hexadecimal (base 16) | D859 |
| Base 3 | 2210222022 |
| As time | 55385 seconds = 15 h 23 min 5 s |
Is 55385 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55385 ÷ 5 = 11077) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55385 ÷ 11 = 5035) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55385 a prime number?
No. 55385 = 5 × 11 × 19 × 53, so it is divisible by 5.
What are the factors of 55385?
1, 5, 11, 19, 53, 55, 95, 209, 265, 583, 1007, 1045, 2915, 5035, 11077, 55385.
What is 55385 in binary?
1101100001011001 (hexadecimal D859, octal 154131).
What is the square root of 55385?
About 235.3402.
Is 55385 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55385?
It is a composite number with 16 divisors.