The number 49681
49681 is the 5103rd prime number. Its only divisors are 1 and 49681.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49681: the 5103rd prime number.
- 2
49681 is prime, so its only factors are 1 and 49681. It is the 5103rd prime; the next prime is 49697 and the one before is 49669.
- 3
The divisors add up to 49682; without 49681 itself that is 1, so 49681 is deficient (1 is less than 49681). Euler's totient φ(49681) = 49680 numbers up to 49681 share no factor with it.
- 4
The digits of 49681 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
49681 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49682 |
| Euler totient φ(n) | 49680 |
| Square | 2468201761 |
| Cube | 122622731688241 |
| Square root | 222.892351 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9681 × |
49681 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and eighty-one |
| Binary (base 2) | 1100001000010001 |
| Octal (base 8) | 141021 |
| Hexadecimal (base 16) | C211 |
| Base 3 | 2112011001 |
| As time | 49681 seconds = 13 h 48 min 1 s |
Is 49681 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 1) | 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 2) | 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 1) | 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 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 49681 a prime number?
Yes. 49681 is divisible only by 1 and itself.
What are the factors of 49681?
1, 49681.
What is 49681 in binary?
1100001000010001 (hexadecimal C211, octal 141021).
What is the square root of 49681?
About 222.8924.
Is 49681 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49681?
49681 is the 5103rd prime number.