The number 48823
48823 is a twin prime (48821 and 48823 are both prime) and the 5022nd prime number. Its only divisors are 1 and 48823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48823: a twin prime (48821 and 48823 are both prime); the 5022nd prime number.
- 2
48823 is prime, so its only factors are 1 and 48823. It is the 5022nd prime; the next prime is 48847 and the one before is 48821.
- 3
The divisors add up to 48824; without 48823 itself that is 1, so 48823 is deficient (1 is less than 48823). Euler's totient φ(48823) = 48822 numbers up to 48823 share no factor with it.
- 4
The digits of 48823 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
48823 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48824 |
| Euler totient φ(n) | 48822 |
| Square | 2383685329 |
| Cube | 116378668817767 |
| Square root | 220.959272 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8823 × |
48823 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty-three |
| Binary (base 2) | 1011111010110111 |
| Octal (base 8) | 137267 |
| Hexadecimal (base 16) | BEB7 |
| Base 3 | 2110222021 |
| As time | 48823 seconds = 13 h 33 min 43 s |
Is 48823 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 3) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 48823 a prime number?
Yes. 48823 is divisible only by 1 and itself.
What are the factors of 48823?
1, 48823.
What is 48823 in binary?
1011111010110111 (hexadecimal BEB7, octal 137267).
What is the square root of 48823?
About 220.9593.
Is 48823 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48823?
48823 is a twin prime (48821 and 48823 are both prime); the 5022nd prime number.