The number 49921
49921 is a twin prime (49919 and 49921 are both prime) and the 5125th prime number. Its only divisors are 1 and 49921.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49921: a twin prime (49919 and 49921 are both prime); the 5125th prime number.
- 2
49921 is prime, so its only factors are 1 and 49921. It is the 5125th prime; the next prime is 49927 and the one before is 49919.
- 3
The divisors add up to 49922; without 49921 itself that is 1, so 49921 is deficient (1 is less than 49921). Euler's totient φ(49921) = 49920 numbers up to 49921 share no factor with it.
- 4
The digits of 49921 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
49921 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49922 |
| Euler totient φ(n) | 49920 |
| Square | 2492106241 |
| Cube | 124408435656961 |
| Square root | 223.430079 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9921 × |
49921 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and twenty-one |
| Binary (base 2) | 1100001100000001 |
| Octal (base 8) | 141401 |
| Hexadecimal (base 16) | C301 |
| Base 3 | 2112110221 |
| As time | 49921 seconds = 13 h 52 min 1 s |
Is 49921 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 4) | 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 7) | 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 3) | 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 49921 a prime number?
Yes. 49921 is divisible only by 1 and itself.
What are the factors of 49921?
1, 49921.
What is 49921 in binary?
1100001100000001 (hexadecimal C301, octal 141401).
What is the square root of 49921?
About 223.4301.
Is 49921 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49921?
49921 is a twin prime (49919 and 49921 are both prime); the 5125th prime number.