The number 48767
48767 is the 5014th prime number. Its only divisors are 1 and 48767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48767: the 5014th prime number.
- 2
48767 is prime, so its only factors are 1 and 48767. It is the 5014th prime; the next prime is 48779 and the one before is 48761.
- 3
The divisors add up to 48768; without 48767 itself that is 1, so 48767 is deficient (1 is less than 48767). Euler's totient φ(48767) = 48766 numbers up to 48767 share no factor with it.
- 4
The digits of 48767 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
48767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48768 |
| Euler totient φ(n) | 48766 |
| Square | 2378220289 |
| Cube | 115978668833663 |
| Square root | 220.832516 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8767 × |
48767 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and sixty-seven |
| Binary (base 2) | 1011111001111111 |
| Octal (base 8) | 137177 |
| Hexadecimal (base 16) | BE7F |
| Base 3 | 2110220012 |
| As time | 48767 seconds = 13 h 32 min 47 s |
Is 48767 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 5) | 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 5) | 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 4) | 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 48767 a prime number?
Yes. 48767 is divisible only by 1 and itself.
What are the factors of 48767?
1, 48767.
What is 48767 in binary?
1011111001111111 (hexadecimal BE7F, octal 137177).
What is the square root of 48767?
About 220.8325.
Is 48767 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48767?
48767 is the 5014th prime number.