The number 50129
50129 is a twin prime (50129 and 50131 are both prime) and the 5148th prime number. Its only divisors are 1 and 50129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50129: a twin prime (50129 and 50131 are both prime); the 5148th prime number.
- 2
50129 is prime, so its only factors are 1 and 50129. It is the 5148th prime; the next prime is 50131 and the one before is 50123.
- 3
The divisors add up to 50130; without 50129 itself that is 1, so 50129 is deficient (1 is less than 50129). Euler's totient φ(50129) = 50128 numbers up to 50129 share no factor with it.
- 4
The digits of 50129 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
50129 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50130 |
| Euler totient φ(n) | 50128 |
| Square | 2512916641 |
| Cube | 125969998296689 |
| Square root | 223.895065 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0129 × |
50129 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and twenty-nine |
| Binary (base 2) | 1100001111010001 |
| Octal (base 8) | 141721 |
| Hexadecimal (base 16) | C3D1 |
| Base 3 | 2112202122 |
| As time | 50129 seconds = 13 h 55 min 29 s |
Is 50129 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 | No (remainder 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 50129 a prime number?
Yes. 50129 is divisible only by 1 and itself.
What are the factors of 50129?
1, 50129.
What is 50129 in binary?
1100001111010001 (hexadecimal C3D1, octal 141721).
What is the square root of 50129?
About 223.8951.
Is 50129 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 50129?
50129 is a twin prime (50129 and 50131 are both prime); the 5148th prime number.