The number 14029
14029 is the 1655th prime number. Its only divisors are 1 and 14029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14029: the 1655th prime number.
- 2
14029 is prime, so its only factors are 1 and 14029. It is the 1655th prime; the next prime is 14033 and the one before is 14011.
- 3
The divisors add up to 14030; without 14029 itself that is 1, so 14029 is deficient (1 is less than 14029). Euler's totient φ(14029) = 14028 numbers up to 14029 share no factor with it.
- 4
The digits of 14029 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 58 steps to reach 1.
14029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14030 |
| Euler totient φ(n) | 14028 |
| Square | 196812841 |
| Cube | 2761087346389 |
| Square root | 118.444080 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4029 × |
14029 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twenty-nine |
| Binary (base 2) | 11011011001101 |
| Octal (base 8) | 33315 |
| Hexadecimal (base 16) | 36CD |
| Base 3 | 201020121 |
| As time | 14029 seconds = 3 h 53 min 49 s |
Is 14029 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 14029 a prime number?
Yes. 14029 is divisible only by 1 and itself.
What are the factors of 14029?
1, 14029.
What is 14029 in binary?
11011011001101 (hexadecimal 36CD, octal 33315).
What is the square root of 14029?
About 118.4441.
Is 14029 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 14029?
14029 is the 1655th prime number.