The number 48821
48821 is a twin prime (48821 and 48823 are both prime) and the 5021st prime number. Its only divisors are 1 and 48821.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48821: a twin prime (48821 and 48823 are both prime); the 5021st prime number.
- 2
48821 is prime, so its only factors are 1 and 48821. It is the 5021st prime; the next prime is 48823 and the one before is 48817.
- 3
The divisors add up to 48822; without 48821 itself that is 1, so 48821 is deficient (1 is less than 48821). Euler's totient φ(48821) = 48820 numbers up to 48821 share no factor with it.
- 4
The digits of 48821 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
48821 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48822 |
| Euler totient φ(n) | 48820 |
| Square | 2383490041 |
| Cube | 116364367291661 |
| Square root | 220.954746 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8821 × |
48821 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty-one |
| Binary (base 2) | 1011111010110101 |
| Octal (base 8) | 137265 |
| Hexadecimal (base 16) | BEB5 |
| Base 3 | 2110222012 |
| As time | 48821 seconds = 13 h 33 min 41 s |
Is 48821 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48821 a prime number?
Yes. 48821 is divisible only by 1 and itself.
What are the factors of 48821?
1, 48821.
What is 48821 in binary?
1011111010110101 (hexadecimal BEB5, octal 137265).
What is the square root of 48821?
About 220.9547.
Is 48821 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48821?
48821 is a twin prime (48821 and 48823 are both prime); the 5021st prime number.