The number 49367
49367 is a twin prime (49367 and 49369 are both prime) and the 5072nd prime number. Its only divisors are 1 and 49367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49367: a twin prime (49367 and 49369 are both prime); the 5072nd prime number.
- 2
49367 is prime, so its only factors are 1 and 49367. It is the 5072nd prime; the next prime is 49369 and the one before is 49363.
- 3
The divisors add up to 49368; without 49367 itself that is 1, so 49367 is deficient (1 is less than 49367). Euler's totient φ(49367) = 49366 numbers up to 49367 share no factor with it.
- 4
The digits of 49367 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 158 steps to reach 1.
49367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49368 |
| Euler totient φ(n) | 49366 |
| Square | 2437100689 |
| Cube | 120312349713863 |
| Square root | 222.186858 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9367 × |
49367 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and sixty-seven |
| Binary (base 2) | 1100000011010111 |
| Octal (base 8) | 140327 |
| Hexadecimal (base 16) | C0D7 |
| Base 3 | 2111201102 |
| As time | 49367 seconds = 13 h 42 min 47 s |
Is 49367 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 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 10) | 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 49367 a prime number?
Yes. 49367 is divisible only by 1 and itself.
What are the factors of 49367?
1, 49367.
What is 49367 in binary?
1100000011010111 (hexadecimal C0D7, octal 140327).
What is the square root of 49367?
About 222.1869.
Is 49367 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49367?
49367 is a twin prime (49367 and 49369 are both prime); the 5072nd prime number.