The number 55105
55105 is a composite number with 8 divisors. Its prime factorisation is 5 × 103 × 107. Divisors (8): 1, 5, 103, 107, 515, 535, 11021, 55105.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55105 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55105 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 55105 itself that is 12287, so 55105 is deficient (12287 is less than 55105). Euler's totient φ(55105) = 43248 numbers up to 55105 share no factor with it.
- 4
The digits of 55105 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55105 = 5 \times 103 \times 107 \]
55105 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 43248 |
| Square | 3036561025 |
| Cube | 167329695282625 |
| Square root | 234.744542 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5105 × |
55105 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and five |
| Binary (base 2) | 1101011101000001 |
| Octal (base 8) | 153501 |
| Hexadecimal (base 16) | D741 |
| Base 3 | 2210120221 |
| As time | 55105 seconds = 15 h 18 min 25 s |
Is 55105 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 1) | 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 (55105 ÷ 5 = 11021) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55105 a prime number?
No. 55105 = 5 × 103 × 107, so it is divisible by 5.
What are the factors of 55105?
1, 5, 103, 107, 515, 535, 11021, 55105.
What is 55105 in binary?
1101011101000001 (hexadecimal D741, octal 153501).
What is the square root of 55105?
About 234.7445.
Is 55105 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55105?
It is a composite number with 8 divisors.