The number 42221
42221 is a twin prime (42221 and 42223 are both prime) and the 4414th prime number. Its only divisors are 1 and 42221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42221: a twin prime (42221 and 42223 are both prime); the 4414th prime number.
- 2
42221 is prime, so its only factors are 1 and 42221. It is the 4414th prime; the next prime is 42223 and the one before is 42209.
- 3
The divisors add up to 42222; without 42221 itself that is 1, so 42221 is deficient (1 is less than 42221). Euler's totient φ(42221) = 42220 numbers up to 42221 share no factor with it.
- 4
The digits of 42221 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
42221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42222 |
| Euler totient φ(n) | 42220 |
| Square | 1782612841 |
| Cube | 75263696759861 |
| Square root | 205.477493 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2221 × |
42221 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-one |
| Binary (base 2) | 1010010011101101 |
| Octal (base 8) | 122355 |
| Hexadecimal (base 16) | A4ED |
| Base 3 | 2010220202 |
| As time | 42221 seconds = 11 h 43 min 41 s |
Is 42221 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 4) | 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 2) | 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 42221 a prime number?
Yes. 42221 is divisible only by 1 and itself.
What are the factors of 42221?
1, 42221.
What is 42221 in binary?
1010010011101101 (hexadecimal A4ED, octal 122355).
What is the square root of 42221?
About 205.4775.
Is 42221 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42221?
42221 is a twin prime (42221 and 42223 are both prime); the 4414th prime number.