The number 49727
49727 is the 5106th prime number. Its only divisors are 1 and 49727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49727: the 5106th prime number.
- 2
49727 is prime, so its only factors are 1 and 49727. It is the 5106th prime; the next prime is 49739 and the one before is 49711.
- 3
The divisors add up to 49728; without 49727 itself that is 1, so 49727 is deficient (1 is less than 49727). Euler's totient φ(49727) = 49726 numbers up to 49727 share no factor with it.
- 4
The digits of 49727 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
49727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49728 |
| Euler totient φ(n) | 49726 |
| Square | 2472774529 |
| Cube | 122963659003583 |
| Square root | 222.995516 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9727 × |
49727 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and twenty-seven |
| Binary (base 2) | 1100001000111111 |
| Octal (base 8) | 141077 |
| Hexadecimal (base 16) | C23F |
| Base 3 | 2112012202 |
| As time | 49727 seconds = 13 h 48 min 47 s |
Is 49727 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49727 a prime number?
Yes. 49727 is divisible only by 1 and itself.
What are the factors of 49727?
1, 49727.
What is 49727 in binary?
1100001000111111 (hexadecimal C23F, octal 141077).
What is the square root of 49727?
About 222.9955.
Is 49727 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49727?
49727 is the 5106th prime number.