The number 48221
48221 is the 4964th prime number. Its only divisors are 1 and 48221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48221: the 4964th prime number.
- 2
48221 is prime, so its only factors are 1 and 48221. It is the 4964th prime; the next prime is 48239 and the one before is 48197.
- 3
The divisors add up to 48222; without 48221 itself that is 1, so 48221 is deficient (1 is less than 48221). Euler's totient φ(48221) = 48220 numbers up to 48221 share no factor with it.
- 4
The digits of 48221 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48222 |
| Euler totient φ(n) | 48220 |
| Square | 2325264841 |
| Cube | 112126595897861 |
| Square root | 219.592805 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8221 × |
48221 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and twenty-one |
| Binary (base 2) | 1011110001011101 |
| Octal (base 8) | 136135 |
| Hexadecimal (base 16) | BC5D |
| Base 3 | 2110010222 |
| As time | 48221 seconds = 13 h 23 min 41 s |
Is 48221 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 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 48221 a prime number?
Yes. 48221 is divisible only by 1 and itself.
What are the factors of 48221?
1, 48221.
What is 48221 in binary?
1011110001011101 (hexadecimal BC5D, octal 136135).
What is the square root of 48221?
About 219.5928.
Is 48221 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48221?
48221 is the 4964th prime number.