The number 14449
14449 is a twin prime (14447 and 14449 are both prime) and the 1695th prime number. Its only divisors are 1 and 14449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14449: a twin prime (14447 and 14449 are both prime); the 1695th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14449 is prime, so its only factors are 1 and 14449. It is the 1695th prime; the next prime is 14461 and the one before is 14447.
- 3
The divisors add up to 14450; without 14449 itself that is 1, so 14449 is deficient (1 is less than 14449). Euler's totient φ(14449) = 14448 numbers up to 14449 share no factor with it.
- 4
The digits of 14449 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
14449 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14450 |
| Euler totient φ(n) | 14448 |
| Square | 208773601 |
| Cube | 3016569760849 |
| Square root | 120.203993 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4449 × |
14449 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and forty-nine |
| Binary (base 2) | 11100001110001 |
| Octal (base 8) | 34161 |
| Hexadecimal (base 16) | 3871 |
| Base 3 | 201211011 |
| As time | 14449 seconds = 4 h 0 min 49 s |
Is 14449 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 4) | 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 14449 a prime number?
Yes. 14449 is divisible only by 1 and itself.
What are the factors of 14449?
1, 14449.
What is 14449 in binary?
11100001110001 (hexadecimal 3871, octal 34161).
What is the square root of 14449?
About 120.2040.
Is 14449 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 14449?
14449 is a twin prime (14447 and 14449 are both prime); the 1695th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.