The number 50741
50741 is the 5199th prime number. Its only divisors are 1 and 50741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50741: the 5199th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50741 is prime, so its only factors are 1 and 50741. It is the 5199th prime; the next prime is 50753 and the one before is 50723.
- 3
The divisors add up to 50742; without 50741 itself that is 1, so 50741 is deficient (1 is less than 50741). Euler's totient φ(50741) = 50740 numbers up to 50741 share no factor with it.
- 4
The digits of 50741 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 83 steps to reach 1.
50741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50742 |
| Euler totient φ(n) | 50740 |
| Square | 2574649081 |
| Cube | 130640269019021 |
| Square root | 225.257630 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0741 × |
50741 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and forty-one |
| Binary (base 2) | 1100011000110101 |
| Octal (base 8) | 143065 |
| Hexadecimal (base 16) | C635 |
| Base 3 | 2120121022 |
| As time | 50741 seconds = 14 h 5 min 41 s |
Is 50741 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 1) | 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 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 50741 a prime number?
Yes. 50741 is divisible only by 1 and itself.
What are the factors of 50741?
1, 50741.
What is 50741 in binary?
1100011000110101 (hexadecimal C635, octal 143065).
What is the square root of 50741?
About 225.2576.
Is 50741 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 50741?
50741 is the 5199th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.