The number 55488
55488 is a composite number with 42 divisors. Its prime factorisation is × 3 × . Divisors (42): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68 … 55488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55488 is composite. Its prime factorisation is
- 3
The divisors add up to 155956; without 55488 itself that is 100468, so 55488 is abundant (100468 is more than 55488). Euler's totient φ(55488) = 17408 numbers up to 55488 share no factor with it.
- 4
The digits of 55488 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55488 = 2^{6} \times 3 \times 17^{2} \]55488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 155956 |
| Euler totient φ(n) | 17408 |
| Square | 3078918144 |
| Cube | 170843009974272 |
| Square root | 235.558910 (= 136√3) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5488 × |
55488 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and eighty-eight |
| Binary (base 2) | 1101100011000000 |
| Octal (base 8) | 154300 |
| Hexadecimal (base 16) | D8C0 |
| Base 3 | 2211010010 |
| As time | 55488 seconds = 15 h 24 min 48 s |
Is 55488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55488 ÷ 2 = 27744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55488 ÷ 3 = 18496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55488 ÷ 4 = 13872) | 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 (55488 ÷ 6 = 9248) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (55488 ÷ 8 = 6936) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55488 ÷ 12 = 4624) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55488 a prime number?
No. 55488 = × 3 × , so it is divisible by 2.
What are the factors of 55488?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 289, 408, 544, 578, 816, 867, 1088, 1156, 1632, 1734, 2312, 3264, 3468, 4624, 6936, 9248, 13872, 18496, 27744, 55488.
What is 55488 in binary?
1101100011000000 (hexadecimal D8C0, octal 154300).
What is the square root of 55488?
About 235.5589, exactly 136√3.
Is 55488 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55488?
It is a composite number with 42 divisors.