The number 55060
55060 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2753. Divisors (12): 1, 2, 4, 5, 10, 20, 2753, 5506, 11012, 13765, 27530, 55060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55060: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55060 is composite. Its prime factorisation is
- 3
The divisors add up to 115668; without 55060 itself that is 60608, so 55060 is abundant (60608 is more than 55060). Euler's totient φ(55060) = 22016 numbers up to 55060 share no factor with it.
- 4
The digits of 55060 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55060 = 2^{2} \times 5 \times 2753 \]55060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115668 |
| Euler totient φ(n) | 22016 |
| Square | 3031603600 |
| Cube | 166920094216000 |
| Square root | 234.648674 (= 2√13765) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.506 × |
55060 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and sixty |
| Binary (base 2) | 1101011100010100 |
| Octal (base 8) | 153424 |
| Hexadecimal (base 16) | D714 |
| Base 3 | 2210112021 |
| As time | 55060 seconds = 15 h 17 min 40 s |
Is 55060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55060 ÷ 2 = 27530) | 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 (55060 ÷ 4 = 13765) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55060 ÷ 5 = 11012) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55060 ÷ 10 = 5506) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 55060 a prime number?
No. 55060 = × 5 × 2753, so it is divisible by 2.
What are the factors of 55060?
1, 2, 4, 5, 10, 20, 2753, 5506, 11012, 13765, 27530, 55060.
What is 55060 in binary?
1101011100010100 (hexadecimal D714, octal 153424).
What is the square root of 55060?
About 234.6487, exactly 2√13765.
Is 55060 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55060?
55060 is a happy number: repeatedly adding the squares of its digits reaches 1.