The number 50077
50077 is the 5141st prime number. Its only divisors are 1 and 50077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50077: the 5141st prime number.
- 2
50077 is prime, so its only factors are 1 and 50077. It is the 5141st prime; the next prime is 50087 and the one before is 50069.
- 3
The divisors add up to 50078; without 50077 itself that is 1, so 50077 is deficient (1 is less than 50077). Euler's totient φ(50077) = 50076 numbers up to 50077 share no factor with it.
- 4
The digits of 50077 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
50077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50078 |
| Euler totient φ(n) | 50076 |
| Square | 2507705929 |
| Cube | 125578389806533 |
| Square root | 223.778909 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0077 × |
50077 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and seventy-seven |
| Binary (base 2) | 1100001110011101 |
| Octal (base 8) | 141635 |
| Hexadecimal (base 16) | C39D |
| Base 3 | 2112200201 |
| As time | 50077 seconds = 13 h 54 min 37 s |
Is 50077 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 2) | 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 6) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 50077 a prime number?
Yes. 50077 is divisible only by 1 and itself.
What are the factors of 50077?
1, 50077.
What is 50077 in binary?
1100001110011101 (hexadecimal C39D, octal 141635).
What is the square root of 50077?
About 223.7789.
Is 50077 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 50077?
50077 is the 5141st prime number.