The number 49787
49787 is a twin prime (49787 and 49789 are both prime) and the 5112th prime number. Its only divisors are 1 and 49787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49787: a twin prime (49787 and 49789 are both prime); the 5112th prime number.
- 2
49787 is prime, so its only factors are 1 and 49787. It is the 5112th prime; the next prime is 49789 and the one before is 49783.
- 3
The divisors add up to 49788; without 49787 itself that is 1, so 49787 is deficient (1 is less than 49787). Euler's totient φ(49787) = 49786 numbers up to 49787 share no factor with it.
- 4
The digits of 49787 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
49787 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49788 |
| Euler totient φ(n) | 49786 |
| Square | 2478745369 |
| Cube | 123409295686403 |
| Square root | 223.130007 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9787 × |
49787 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and eighty-seven |
| Binary (base 2) | 1100001001111011 |
| Octal (base 8) | 141173 |
| Hexadecimal (base 16) | C27B |
| Base 3 | 2112021222 |
| As time | 49787 seconds = 13 h 49 min 47 s |
Is 49787 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 49787 a prime number?
Yes. 49787 is divisible only by 1 and itself.
What are the factors of 49787?
1, 49787.
What is 49787 in binary?
1100001001111011 (hexadecimal C27B, octal 141173).
What is the square root of 49787?
About 223.1300.
Is 49787 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 49787?
49787 is a twin prime (49787 and 49789 are both prime); the 5112th prime number.