The number 14221
14221 is the 1672nd prime number. Its only divisors are 1 and 14221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14221: the 1672nd prime number.
- 2
14221 is prime, so its only factors are 1 and 14221. It is the 1672nd prime; the next prime is 14243 and the one before is 14207.
- 3
The divisors add up to 14222; without 14221 itself that is 1, so 14221 is deficient (1 is less than 14221). Euler's totient φ(14221) = 14220 numbers up to 14221 share no factor with it.
- 4
The digits of 14221 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
14221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14222 |
| Euler totient φ(n) | 14220 |
| Square | 202236841 |
| Cube | 2876010115861 |
| Square root | 119.251834 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.4221 × |
14221 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred and twenty-one |
| Binary (base 2) | 11011110001101 |
| Octal (base 8) | 33615 |
| Hexadecimal (base 16) | 378D |
| Base 3 | 201111201 |
| As time | 14221 seconds = 3 h 57 min 1 s |
Is 14221 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 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 1) | 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 9) | 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 14221 a prime number?
Yes. 14221 is divisible only by 1 and itself.
What are the factors of 14221?
1, 14221.
What is 14221 in binary?
11011110001101 (hexadecimal 378D, octal 33615).
What is the square root of 14221?
About 119.2518.
Is 14221 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 14221?
14221 is the 1672nd prime number.