The number 55284
55284 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 271. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 271, 542, 813, 1084 … 55284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55284 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55284 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 55284 itself that is 81804, so 55284 is abundant (81804 is more than 55284). Euler's totient φ(55284) = 17280 numbers up to 55284 share no factor with it.
- 4
The digits of 55284 add up to 24, 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
\[ 55284 = 2^{2} \times 3 \times 17 \times 271 \]55284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 17280 |
| Square | 3056320656 |
| Cube | 168965631146304 |
| Square root | 235.125498 (= 2√13821) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5284 × |
55284 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and eighty-four |
| Binary (base 2) | 1101011111110100 |
| Octal (base 8) | 153764 |
| Hexadecimal (base 16) | D7F4 |
| Base 3 | 2210211120 |
| As time | 55284 seconds = 15 h 21 min 24 s |
Is 55284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55284 ÷ 2 = 27642) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55284 ÷ 3 = 18428) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55284 ÷ 4 = 13821) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55284 ÷ 6 = 9214) | 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 4) | 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 (55284 ÷ 12 = 4607) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55284 a prime number?
No. 55284 = × 3 × 17 × 271, so it is divisible by 2.
What are the factors of 55284?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 271, 542, 813, 1084, 1626, 3252, 4607, 9214, 13821, 18428, 27642, 55284.
What is 55284 in binary?
1101011111110100 (hexadecimal D7F4, octal 153764).
What is the square root of 55284?
About 235.1255, exactly 2√13821.
Is 55284 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55284?
It is a composite number with 24 divisors.