The number 50377
50377 is the 5170th prime number. Its only divisors are 1 and 50377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50377: the 5170th prime number.
- 2
50377 is prime, so its only factors are 1 and 50377. It is the 5170th prime; the next prime is 50383 and the one before is 50363.
- 3
The divisors add up to 50378; without 50377 itself that is 1, so 50377 is deficient (1 is less than 50377). Euler's totient φ(50377) = 50376 numbers up to 50377 share no factor with it.
- 4
The digits of 50377 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
50377 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50378 |
| Euler totient φ(n) | 50376 |
| Square | 2537842129 |
| Cube | 127848872932633 |
| Square root | 224.448212 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0377 × |
50377 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and seventy-seven |
| Binary (base 2) | 1100010011001001 |
| Octal (base 8) | 142311 |
| Hexadecimal (base 16) | C4C9 |
| Base 3 | 2120002211 |
| As time | 50377 seconds = 13 h 59 min 37 s |
Is 50377 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 5) | 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 4) | 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 8) | 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 50377 a prime number?
Yes. 50377 is divisible only by 1 and itself.
What are the factors of 50377?
1, 50377.
What is 50377 in binary?
1100010011001001 (hexadecimal C4C9, octal 142311).
What is the square root of 50377?
About 224.4482.
Is 50377 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 50377?
50377 is the 5170th prime number.