The number 55808
55808 is a composite number with 20 divisors. Its prime factorisation is × 109. Divisors (20): 1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 512, 872, 1744, 3488 … 55808.
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How to work it out
- 1
55808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55808 is composite. Its prime factorisation is
- 3
The divisors add up to 112530; without 55808 itself that is 56722, so 55808 is abundant (56722 is more than 55808). Euler's totient φ(55808) = 27648 numbers up to 55808 share no factor with it.
- 4
The digits of 55808 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55808 = 2^{9} \times 109 \]55808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 112530 |
| Euler totient φ(n) | 27648 |
| Square | 3114532864 |
| Cube | 173815850074112 |
| Square root | 236.237169 (= 16√218) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5808 × |
55808 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and eight |
| Binary (base 2) | 1101101000000000 |
| Octal (base 8) | 155000 |
| Hexadecimal (base 16) | DA00 |
| Base 3 | 2211112222 |
| As time | 55808 seconds = 15 h 30 min 8 s |
Is 55808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55808 ÷ 2 = 27904) | 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 (55808 ÷ 4 = 13952) | 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 4) | 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 (55808 ÷ 8 = 6976) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 55808 a prime number?
No. 55808 = × 109, so it is divisible by 2.
What are the factors of 55808?
1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 512, 872, 1744, 3488, 6976, 13952, 27904, 55808.
What is 55808 in binary?
1101101000000000 (hexadecimal DA00, octal 155000).
What is the square root of 55808?
About 236.2372, exactly 16√218.
Is 55808 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55808?
It is a composite number with 20 divisors.