The number 55988
55988 is a composite number with 6 divisors. Its prime factorisation is × 13997. Divisors (6): 1, 2, 4, 13997, 27994, 55988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55988 is composite. Its prime factorisation is
- 3
The divisors add up to 97986; without 55988 itself that is 41998, so 55988 is deficient (41998 is less than 55988). Euler's totient φ(55988) = 27992 numbers up to 55988 share no factor with it.
- 4
The digits of 55988 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55988 = 2^{2} \times 13997 \]55988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97986 |
| Euler totient φ(n) | 27992 |
| Square | 3134656144 |
| Cube | 175503128190272 |
| Square root | 236.617835 (= 2√13997) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5988 × |
55988 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and eighty-eight |
| Binary (base 2) | 1101101010110100 |
| Octal (base 8) | 155264 |
| Hexadecimal (base 16) | DAB4 |
| Base 3 | 2211210122 |
| As time | 55988 seconds = 15 h 33 min 8 s |
Is 55988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55988 ÷ 2 = 27994) | 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 (55988 ÷ 4 = 13997) | 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 2) | 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 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 9) | 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 55988 a prime number?
No. 55988 = × 13997, so it is divisible by 2.
What are the factors of 55988?
1, 2, 4, 13997, 27994, 55988.
What is 55988 in binary?
1101101010110100 (hexadecimal DAB4, octal 155264).
What is the square root of 55988?
About 236.6178, exactly 2√13997.
Is 55988 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 55988?
It is a composite number with 6 divisors.