The number 9421
9421 is a twin prime (9419 and 9421 are both prime) and the 1166th prime number. Its only divisors are 1 and 9421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9421: a twin prime (9419 and 9421 are both prime); the 1166th prime number.
- 2
9421 is prime, so its only factors are 1 and 9421. It is the 1166th prime; the next prime is 9431 and the one before is 9419.
- 3
The divisors add up to 9422; without 9421 itself that is 1, so 9421 is deficient (1 is less than 9421). Euler's totient φ(9421) = 9420 numbers up to 9421 share no factor with it.
- 4
The digits of 9421 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
9421 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9422 |
| Euler totient φ(n) | 9420 |
| Square | 88755241 |
| Cube | 836163125461 |
| Square root | 97.061836 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.421 × |
9421 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and twenty-one |
| Binary (base 2) | 10010011001101 |
| Octal (base 8) | 22315 |
| Hexadecimal (base 16) | 24CD |
| Base 3 | 110220221 |
| As time | 9421 seconds = 2 h 37 min 1 s |
Is 9421 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9421 a prime number?
Yes. 9421 is divisible only by 1 and itself.
What are the factors of 9421?
1, 9421.
What is 9421 in binary?
10010011001101 (hexadecimal 24CD, octal 22315).
What is the square root of 9421?
About 97.0618.
Is 9421 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9421?
9421 is a twin prime (9419 and 9421 are both prime); the 1166th prime number.