The number 55788
55788 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4649. Divisors (12): 1, 2, 3, 4, 6, 12, 4649, 9298, 13947, 18596, 27894, 55788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55788 is composite. Its prime factorisation is
- 3
The divisors add up to 130200; without 55788 itself that is 74412, so 55788 is abundant (74412 is more than 55788). Euler's totient φ(55788) = 18592 numbers up to 55788 share no factor with it.
- 4
The digits of 55788 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55788 = 2^{2} \times 3 \times 4649 \]55788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 130200 |
| Euler totient φ(n) | 18592 |
| Square | 3112300944 |
| Cube | 173629045063872 |
| Square root | 236.194835 (= 2√13947) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5788 × |
55788 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and eighty-eight |
| Binary (base 2) | 1101100111101100 |
| Octal (base 8) | 154754 |
| Hexadecimal (base 16) | D9EC |
| Base 3 | 2211112020 |
| As time | 55788 seconds = 15 h 29 min 48 s |
Is 55788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55788 ÷ 2 = 27894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55788 ÷ 3 = 18596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55788 ÷ 4 = 13947) | 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 | Yes (55788 ÷ 6 = 9298) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55788 ÷ 12 = 4649) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55788 a prime number?
No. 55788 = × 3 × 4649, so it is divisible by 2.
What are the factors of 55788?
1, 2, 3, 4, 6, 12, 4649, 9298, 13947, 18596, 27894, 55788.
What is 55788 in binary?
1101100111101100 (hexadecimal D9EC, octal 154754).
What is the square root of 55788?
About 236.1948, exactly 2√13947.
Is 55788 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 55788?
It is a composite number with 12 divisors.