The number 14321
14321 is a twin prime (14321 and 14323 are both prime) and the 1679th prime number. Its only divisors are 1 and 14321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14321: a twin prime (14321 and 14323 are both prime); the 1679th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14321 is prime, so its only factors are 1 and 14321. It is the 1679th prime; the next prime is 14323 and the one before is 14303.
- 3
The divisors add up to 14322; without 14321 itself that is 1, so 14321 is deficient (1 is less than 14321). Euler's totient φ(14321) = 14320 numbers up to 14321 share no factor with it.
- 4
The digits of 14321 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 102 steps to reach 1.
14321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14322 |
| Euler totient φ(n) | 14320 |
| Square | 205091041 |
| Cube | 2937108798161 |
| Square root | 119.670381 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.4321 × |
14321 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and twenty-one |
| Binary (base 2) | 11011111110001 |
| Octal (base 8) | 33761 |
| Hexadecimal (base 16) | 37F1 |
| Base 3 | 201122102 |
| As time | 14321 seconds = 3 h 58 min 41 s |
Is 14321 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 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 1) | 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 14321 a prime number?
Yes. 14321 is divisible only by 1 and itself.
What are the factors of 14321?
1, 14321.
What is 14321 in binary?
11011111110001 (hexadecimal 37F1, octal 33761).
What is the square root of 14321?
About 119.6704.
Is 14321 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14321?
14321 is a twin prime (14321 and 14323 are both prime); the 1679th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.