The number 55684
55684 is a composite number with 6 divisors. Its prime factorisation is × 13921. Divisors (6): 1, 2, 4, 13921, 27842, 55684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55684 is composite. Its prime factorisation is
- 3
The divisors add up to 97454; without 55684 itself that is 41770, so 55684 is deficient (41770 is less than 55684). Euler's totient φ(55684) = 27840 numbers up to 55684 share no factor with it.
- 4
The digits of 55684 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55684 = 2^{2} \times 13921 \]55684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97454 |
| Euler totient φ(n) | 27840 |
| Square | 3100707856 |
| Cube | 172659816253504 |
| Square root | 235.974575 (= 2√13921) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5684 × |
55684 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and eighty-four |
| Binary (base 2) | 1101100110000100 |
| Octal (base 8) | 154604 |
| Hexadecimal (base 16) | D984 |
| Base 3 | 2211101101 |
| As time | 55684 seconds = 15 h 28 min 4 s |
Is 55684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55684 ÷ 2 = 27842) | 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 (55684 ÷ 4 = 13921) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 55684 a prime number?
No. 55684 = × 13921, so it is divisible by 2.
What are the factors of 55684?
1, 2, 4, 13921, 27842, 55684.
What is 55684 in binary?
1101100110000100 (hexadecimal D984, octal 154604).
What is the square root of 55684?
About 235.9746, exactly 2√13921.
Is 55684 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55684?
It is a composite number with 6 divisors.