The number 55085
55085 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 479. Divisors (8): 1, 5, 23, 115, 479, 2395, 11017, 55085.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55085: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
55085 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 55085 itself that is 14035, so 55085 is deficient (14035 is less than 55085). Euler's totient φ(55085) = 42064 numbers up to 55085 share no factor with it.
- 4
The digits of 55085 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55085 = 5 \times 23 \times 479 \]
55085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 42064 |
| Square | 3034357225 |
| Cube | 167147567739125 |
| Square root | 234.701939 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5085 × |
55085 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and eighty-five |
| Binary (base 2) | 1101011100101101 |
| Octal (base 8) | 153455 |
| Hexadecimal (base 16) | D72D |
| Base 3 | 2210120012 |
| As time | 55085 seconds = 15 h 18 min 5 s |
Is 55085 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55085 ÷ 5 = 11017) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55085 a prime number?
No. 55085 = 5 × 23 × 479, so it is divisible by 5.
What are the factors of 55085?
1, 5, 23, 115, 479, 2395, 11017, 55085.
What is 55085 in binary?
1101011100101101 (hexadecimal D72D, octal 153455).
What is the square root of 55085?
About 234.7019.
Is 55085 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55085?
55085 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.