The number 55888
55888 is a composite number with 20 divisors. Its prime factorisation is × 7 × 499. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 499, 998, 1996, 3493, 3992, 6986 … 55888.
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How to work it out
- 1
55888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55888 is composite. Its prime factorisation is
- 3
The divisors add up to 124000; without 55888 itself that is 68112, so 55888 is abundant (68112 is more than 55888). Euler's totient φ(55888) = 23904 numbers up to 55888 share no factor with it.
- 4
The digits of 55888 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55888 = 2^{4} \times 7 \times 499 \]55888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 124000 |
| Euler totient φ(n) | 23904 |
| Square | 3123468544 |
| Cube | 174564409987072 |
| Square root | 236.406430 (= 4√3493) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5888 × |
55888 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and eighty-eight |
| Binary (base 2) | 1101101001010000 |
| Octal (base 8) | 155120 |
| Hexadecimal (base 16) | DA50 |
| Base 3 | 2211122221 |
| As time | 55888 seconds = 15 h 31 min 28 s |
Is 55888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55888 ÷ 2 = 27944) | 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 (55888 ÷ 4 = 13972) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55888 ÷ 7 = 7984) | 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 (55888 ÷ 8 = 6986) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 55888 a prime number?
No. 55888 = × 7 × 499, so it is divisible by 2.
What are the factors of 55888?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 499, 998, 1996, 3493, 3992, 6986, 7984, 13972, 27944, 55888.
What is 55888 in binary?
1101101001010000 (hexadecimal DA50, octal 155120).
What is the square root of 55888?
About 236.4064, exactly 4√3493.
Is 55888 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 55888?
It is a composite number with 20 divisors.