The number 50005
50005 is a palindrome: it reads 50005 backwards too. Its prime factorisation is 5 × 73 × 137. Divisors (8): 1, 5, 73, 137, 365, 685, 10001, 50005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50005: a palindrome: it reads 50005 backwards too.
- 2
50005 is composite. Its prime factorisation is
- 3
The divisors add up to 61272; without 50005 itself that is 11267, so 50005 is deficient (11267 is less than 50005). Euler's totient φ(50005) = 39168 numbers up to 50005 share no factor with it.
- 4
The digits of 50005 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50005 = 5 \times 73 \times 137 \]
50005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61272 |
| Euler totient φ(n) | 39168 |
| Square | 2500500025 |
| Cube | 125037503750125 |
| Square root | 223.617978 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.0005 × |
50005 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and five |
| Binary (base 2) | 1100001101010101 |
| Octal (base 8) | 141525 |
| Hexadecimal (base 16) | C355 |
| Base 3 | 2112121001 |
| As time | 50005 seconds = 13 h 53 min 25 s |
Is 50005 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 (50005 ÷ 5 = 10001) | 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 4) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50005 a prime number?
No. 50005 = 5 × 73 × 137, so it is divisible by 5.
What are the factors of 50005?
1, 5, 73, 137, 365, 685, 10001, 50005.
What is 50005 in binary?
1100001101010101 (hexadecimal C355, octal 141525).
What is the square root of 50005?
About 223.6180.
Is 50005 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 50005?
50005 is a palindrome: it reads 50005 backwards too.