The number 4421
4421 is a twin prime (4421 and 4423 are both prime) and the 601st prime number. Its only divisors are 1 and 4421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4421: a twin prime (4421 and 4423 are both prime); the 601st prime number.
- 2
4421 is prime, so its only factors are 1 and 4421. It is the 601st prime; the next prime is 4423 and the one before is 4409.
- 3
The divisors add up to 4422; without 4421 itself that is 1, so 4421 is deficient (1 is less than 4421). Euler's totient φ(4421) = 4420 numbers up to 4421 share no factor with it.
- 4
The digits of 4421 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 95 steps to reach 1.
4421 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4422 |
| Euler totient φ(n) | 4420 |
| Square | 19545241 |
| Cube | 86409510461 |
| Square root | 66.490601 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.421 × |
4421 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twenty-one |
| Binary (base 2) | 1000101000101 |
| Octal (base 8) | 10505 |
| Hexadecimal (base 16) | 1145 |
| Base 3 | 20001202 |
| As time | 4421 seconds = 1 h 13 min 41 s |
Is 4421 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 10) | 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 4421 a prime number?
Yes. 4421 is divisible only by 1 and itself.
What are the factors of 4421?
1, 4421.
What is 4421 in binary?
1000101000101 (hexadecimal 1145, octal 10505).
What is the square root of 4421?
About 66.4906.
Is 4421 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4421?
4421 is a twin prime (4421 and 4423 are both prime); the 601st prime number.