The number 55505
55505 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 653. Divisors (8): 1, 5, 17, 85, 653, 3265, 11101, 55505.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55505: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55505 is composite. Its prime factorisation is
- 3
The divisors add up to 70632; without 55505 itself that is 15127, so 55505 is deficient (15127 is less than 55505). Euler's totient φ(55505) = 41728 numbers up to 55505 share no factor with it.
- 4
The digits of 55505 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55505 = 5 \times 17 \times 653 \]
55505 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70632 |
| Euler totient φ(n) | 41728 |
| Square | 3080805025 |
| Cube | 171000082912625 |
| Square root | 235.594991 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.5505 × |
55505 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and five |
| Binary (base 2) | 1101100011010001 |
| Octal (base 8) | 154321 |
| Hexadecimal (base 16) | D8D1 |
| Base 3 | 2211010202 |
| As time | 55505 seconds = 15 h 25 min 5 s |
Is 55505 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 (55505 ÷ 5 = 11101) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | 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 55505 a prime number?
No. 55505 = 5 × 17 × 653, so it is divisible by 5.
What are the factors of 55505?
1, 5, 17, 85, 653, 3265, 11101, 55505.
What is 55505 in binary?
1101100011010001 (hexadecimal D8D1, octal 154321).
What is the square root of 55505?
About 235.5950.
Is 55505 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55505?
55505 is a happy number: repeatedly adding the squares of its digits reaches 1.