The number 49927
49927 is the 5126th prime number. Its only divisors are 1 and 49927.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49927: the 5126th prime number.
- 2
49927 is prime, so its only factors are 1 and 49927. It is the 5126th prime; the next prime is 49937 and the one before is 49921.
- 3
The divisors add up to 49928; without 49927 itself that is 1, so 49927 is deficient (1 is less than 49927). Euler's totient φ(49927) = 49926 numbers up to 49927 share no factor with it.
- 4
The digits of 49927 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
49927 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49928 |
| Euler totient φ(n) | 49926 |
| Square | 2492705329 |
| Cube | 124453298960983 |
| Square root | 223.443505 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 202 |
| Scientific notation | 4.9927 × |
49927 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and twenty-seven |
| Binary (base 2) | 1100001100000111 |
| Octal (base 8) | 141407 |
| Hexadecimal (base 16) | C307 |
| Base 3 | 2112111011 |
| As time | 49927 seconds = 13 h 52 min 7 s |
Is 49927 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49927 a prime number?
Yes. 49927 is divisible only by 1 and itself.
What are the factors of 49927?
1, 49927.
What is 49927 in binary?
1100001100000111 (hexadecimal C307, octal 141407).
What is the square root of 49927?
About 223.4435.
Is 49927 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49927?
49927 is the 5126th prime number.