The number 49937
49937 is a twin prime (49937 and 49939 are both prime) and the 5127th prime number. Its only divisors are 1 and 49937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49937: a twin prime (49937 and 49939 are both prime); the 5127th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49937 is prime, so its only factors are 1 and 49937. It is the 5127th prime; the next prime is 49939 and the one before is 49927.
- 3
The divisors add up to 49938; without 49937 itself that is 1, so 49937 is deficient (1 is less than 49937). Euler's totient φ(49937) = 49936 numbers up to 49937 share no factor with it.
- 4
The digits of 49937 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
49937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49938 |
| Euler totient φ(n) | 49936 |
| Square | 2493703969 |
| Cube | 124528095099953 |
| Square root | 223.465881 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9937 × |
49937 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and thirty-seven |
| Binary (base 2) | 1100001100010001 |
| Octal (base 8) | 141421 |
| Hexadecimal (base 16) | C311 |
| Base 3 | 2112111112 |
| As time | 49937 seconds = 13 h 52 min 17 s |
Is 49937 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 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 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 1) | 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 8) | 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 49937 a prime number?
Yes. 49937 is divisible only by 1 and itself.
What are the factors of 49937?
1, 49937.
What is 49937 in binary?
1100001100010001 (hexadecimal C311, octal 141421).
What is the square root of 49937?
About 223.4659.
Is 49937 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49937?
49937 is a twin prime (49937 and 49939 are both prime); the 5127th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.