The number 55084
55084 is a composite number with 12 divisors. Its prime factorisation is × 47 × 293. Divisors (12): 1, 2, 4, 47, 94, 188, 293, 586, 1172, 13771, 27542, 55084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55084: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55084 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 55084 itself that is 43700, so 55084 is deficient (43700 is less than 55084). Euler's totient φ(55084) = 26864 numbers up to 55084 share no factor with it.
- 4
The digits of 55084 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55084 = 2^{2} \times 47 \times 293 \]55084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 26864 |
| Square | 3034247056 |
| Cube | 167138464832704 |
| Square root | 234.699808 (= 2√13771) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5084 × |
55084 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and eighty-four |
| Binary (base 2) | 1101011100101100 |
| Octal (base 8) | 153454 |
| Hexadecimal (base 16) | D72C |
| Base 3 | 2210120011 |
| As time | 55084 seconds = 15 h 18 min 4 s |
Is 55084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55084 ÷ 2 = 27542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55084 ÷ 4 = 13771) | 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 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55084 a prime number?
No. 55084 = × 47 × 293, so it is divisible by 2.
What are the factors of 55084?
1, 2, 4, 47, 94, 188, 293, 586, 1172, 13771, 27542, 55084.
What is 55084 in binary?
1101011100101100 (hexadecimal D72C, octal 153454).
What is the square root of 55084?
About 234.6998, exactly 2√13771.
Is 55084 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55084?
55084 is a happy number: repeatedly adding the squares of its digits reaches 1.