The number 55688
55688 is a composite number with 8 divisors. Its prime factorisation is × 6961. Divisors (8): 1, 2, 4, 8, 6961, 13922, 27844, 55688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55688 is composite. Its prime factorisation is
- 3
The divisors add up to 104430; without 55688 itself that is 48742, so 55688 is deficient (48742 is less than 55688). Euler's totient φ(55688) = 27840 numbers up to 55688 share no factor with it.
- 4
The digits of 55688 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55688 = 2^{3} \times 6961 \]55688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104430 |
| Euler totient φ(n) | 27840 |
| Square | 3101153344 |
| Cube | 172697027420672 |
| Square root | 235.983050 (= 2√13922) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5688 × |
55688 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and eighty-eight |
| Binary (base 2) | 1101100110001000 |
| Octal (base 8) | 154610 |
| Hexadecimal (base 16) | D988 |
| Base 3 | 2211101112 |
| As time | 55688 seconds = 15 h 28 min 8 s |
Is 55688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55688 ÷ 2 = 27844) | 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 (55688 ÷ 4 = 13922) | 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 | 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 (55688 ÷ 8 = 6961) | 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 6) | 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 55688 a prime number?
No. 55688 = × 6961, so it is divisible by 2.
What are the factors of 55688?
1, 2, 4, 8, 6961, 13922, 27844, 55688.
What is 55688 in binary?
1101100110001000 (hexadecimal D988, octal 154610).
What is the square root of 55688?
About 235.9831, exactly 2√13922.
Is 55688 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 55688?
It is a composite number with 8 divisors.