The number 14009
14009 is a twin prime (14009 and 14011 are both prime) and the 1653rd prime number. Its only divisors are 1 and 14009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14009: a twin prime (14009 and 14011 are both prime); the 1653rd prime number.
- 2
14009 is prime, so its only factors are 1 and 14009. It is the 1653rd prime; the next prime is 14011 and the one before is 13999.
- 3
The divisors add up to 14010; without 14009 itself that is 1, so 14009 is deficient (1 is less than 14009). Euler's totient φ(14009) = 14008 numbers up to 14009 share no factor with it.
- 4
The digits of 14009 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
14009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14010 |
| Euler totient φ(n) | 14008 |
| Square | 196252081 |
| Cube | 2749295402729 |
| Square root | 118.359621 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4009 × |
14009 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and nine |
| Binary (base 2) | 11011010111001 |
| Octal (base 8) | 33271 |
| Hexadecimal (base 16) | 36B9 |
| Base 3 | 201012212 |
| As time | 14009 seconds = 3 h 53 min 29 s |
Is 14009 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 4) | 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 2) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14009 a prime number?
Yes. 14009 is divisible only by 1 and itself.
What are the factors of 14009?
1, 14009.
What is 14009 in binary?
11011010111001 (hexadecimal 36B9, octal 33271).
What is the square root of 14009?
About 118.3596.
Is 14009 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14009?
14009 is a twin prime (14009 and 14011 are both prime); the 1653rd prime number.