The number 55548
55548 is a composite number with 18 divisors. Its prime factorisation is × × 1543. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1543, 3086, 4629, 6172, 9258, 13887, 18516 … 55548.
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How to work it out
- 1
55548 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55548 is composite. Its prime factorisation is
- 3
The divisors add up to 140504; without 55548 itself that is 84956, so 55548 is abundant (84956 is more than 55548). Euler's totient φ(55548) = 18504 numbers up to 55548 share no factor with it.
- 4
The digits of 55548 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 259 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55548 = 2^{2} \times 3^{2} \times 1543 \]55548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 140504 |
| Euler totient φ(n) | 18504 |
| Square | 3085580304 |
| Cube | 171397814726592 |
| Square root | 235.686232 (= 6√1543) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 259 |
| Scientific notation | 5.5548 × |
55548 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and forty-eight |
| Binary (base 2) | 1101100011111100 |
| Octal (base 8) | 154374 |
| Hexadecimal (base 16) | D8FC |
| Base 3 | 2211012100 |
| As time | 55548 seconds = 15 h 25 min 48 s |
Is 55548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55548 ÷ 2 = 27774) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55548 ÷ 3 = 18516) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55548 ÷ 4 = 13887) | 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 (55548 ÷ 6 = 9258) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (55548 ÷ 9 = 6172) | 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 | Yes (55548 ÷ 12 = 4629) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55548 a prime number?
No. 55548 = × × 1543, so it is divisible by 2.
What are the factors of 55548?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1543, 3086, 4629, 6172, 9258, 13887, 18516, 27774, 55548.
What is 55548 in binary?
1101100011111100 (hexadecimal D8FC, octal 154374).
What is the square root of 55548?
About 235.6862, exactly 6√1543.
Is 55548 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55548?
It is a composite number with 18 divisors.