The number 50387
50387 is the 5172nd prime number. Its only divisors are 1 and 50387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50387: the 5172nd prime number.
- 2
50387 is prime, so its only factors are 1 and 50387. It is the 5172nd prime; the next prime is 50411 and the one before is 50383.
- 3
The divisors add up to 50388; without 50387 itself that is 1, so 50387 is deficient (1 is less than 50387). Euler's totient φ(50387) = 50386 numbers up to 50387 share no factor with it.
- 4
The digits of 50387 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
50387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50388 |
| Euler totient φ(n) | 50386 |
| Square | 2538849769 |
| Cube | 127925023310603 |
| Square root | 224.470488 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0387 × |
50387 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and eighty-seven |
| Binary (base 2) | 1100010011010011 |
| Octal (base 8) | 142323 |
| Hexadecimal (base 16) | C4D3 |
| Base 3 | 2120010012 |
| As time | 50387 seconds = 13 h 59 min 47 s |
Is 50387 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 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50387 a prime number?
Yes. 50387 is divisible only by 1 and itself.
What are the factors of 50387?
1, 50387.
What is 50387 in binary?
1100010011010011 (hexadecimal C4D3, octal 142323).
What is the square root of 50387?
About 224.4705.
Is 50387 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 50387?
50387 is the 5172nd prime number.