The number 55848
55848 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 179. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 179 … 55848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55848 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 55848 itself that is 95352, so 55848 is abundant (95352 is more than 55848). Euler's totient φ(55848) = 17088 numbers up to 55848 share no factor with it.
- 4
The digits of 55848 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55848 = 2^{3} \times 3 \times 13 \times 179 \]55848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 17088 |
| Square | 3118999104 |
| Cube | 174189861960192 |
| Square root | 236.321814 (= 2√13962) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5848 × |
55848 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and forty-eight |
| Binary (base 2) | 1101101000101000 |
| Octal (base 8) | 155050 |
| Hexadecimal (base 16) | DA28 |
| Base 3 | 2211121110 |
| As time | 55848 seconds = 15 h 30 min 48 s |
Is 55848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55848 ÷ 2 = 27924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55848 ÷ 3 = 18616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55848 ÷ 4 = 13962) | 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 (55848 ÷ 6 = 9308) | 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 | Yes (55848 ÷ 8 = 6981) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55848 ÷ 12 = 4654) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55848 a prime number?
No. 55848 = × 3 × 13 × 179, so it is divisible by 2.
What are the factors of 55848?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 179, 312, 358, 537, 716, 1074, 1432, 2148, 2327, 4296, 4654, 6981, 9308, 13962, 18616, 27924, 55848.
What is 55848 in binary?
1101101000101000 (hexadecimal DA28, octal 155050).
What is the square root of 55848?
About 236.3218, exactly 2√13962.
Is 55848 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55848?
It is a composite number with 32 divisors.