The number 54888
54888 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2287. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2287, 4574, 6861, 9148, 13722, 18296, 27444, 54888.
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How to work it out
- 1
54888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54888 is composite. Its prime factorisation is
- 3
The divisors add up to 137280; without 54888 itself that is 82392, so 54888 is abundant (82392 is more than 54888). Euler's totient φ(54888) = 18288 numbers up to 54888 share no factor with it.
- 4
The digits of 54888 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54888 = 2^{3} \times 3 \times 2287 \]54888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137280 |
| Euler totient φ(n) | 18288 |
| Square | 3012692544 |
| Cube | 165360668355072 |
| Square root | 234.281882 (= 2√13722) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.4888 × |
54888 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and eighty-eight |
| Binary (base 2) | 1101011001101000 |
| Octal (base 8) | 153150 |
| Hexadecimal (base 16) | D668 |
| Base 3 | 2210021220 |
| As time | 54888 seconds = 15 h 14 min 48 s |
Is 54888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54888 ÷ 2 = 27444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54888 ÷ 3 = 18296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54888 ÷ 4 = 13722) | 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 (54888 ÷ 6 = 9148) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (54888 ÷ 8 = 6861) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54888 ÷ 12 = 4574) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54888 a prime number?
No. 54888 = × 3 × 2287, so it is divisible by 2.
What are the factors of 54888?
1, 2, 3, 4, 6, 8, 12, 24, 2287, 4574, 6861, 9148, 13722, 18296, 27444, 54888.
What is 54888 in binary?
1101011001101000 (hexadecimal D668, octal 153150).
What is the square root of 54888?
About 234.2819, exactly 2√13722.
Is 54888 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 54888?
It is a composite number with 16 divisors.