The number 50101
50101 is the 5144th prime number. Its only divisors are 1 and 50101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50101: the 5144th prime number.
- 2
50101 is prime, so its only factors are 1 and 50101. It is the 5144th prime; the next prime is 50111 and the one before is 50093.
- 3
The divisors add up to 50102; without 50101 itself that is 1, so 50101 is deficient (1 is less than 50101). Euler's totient φ(50101) = 50100 numbers up to 50101 share no factor with it.
- 4
The digits of 50101 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
50101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50102 |
| Euler totient φ(n) | 50100 |
| Square | 2510110201 |
| Cube | 125759031180301 |
| Square root | 223.832527 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0101 × |
50101 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and one |
| Binary (base 2) | 1100001110110101 |
| Octal (base 8) | 141665 |
| Hexadecimal (base 16) | C3B5 |
| Base 3 | 2112201121 |
| As time | 50101 seconds = 13 h 55 min 1 s |
Is 50101 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 | No (remainder 1) | 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 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 50101 a prime number?
Yes. 50101 is divisible only by 1 and itself.
What are the factors of 50101?
1, 50101.
What is 50101 in binary?
1100001110110101 (hexadecimal C3B5, octal 141665).
What is the square root of 50101?
About 223.8325.
Is 50101 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 50101?
50101 is the 5144th prime number.