The number 14033
14033 is the 1656th prime number. Its only divisors are 1 and 14033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14033: the 1656th prime number.
- 2
14033 is prime, so its only factors are 1 and 14033. It is the 1656th prime; the next prime is 14051 and the one before is 14029.
- 3
The divisors add up to 14034; without 14033 itself that is 1, so 14033 is deficient (1 is less than 14033). Euler's totient φ(14033) = 14032 numbers up to 14033 share no factor with it.
- 4
The digits of 14033 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 195 steps to reach 1.
14033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14034 |
| Euler totient φ(n) | 14032 |
| Square | 196925089 |
| Cube | 2763449773937 |
| Square root | 118.460964 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 195 |
| Scientific notation | 1.4033 × |
14033 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and thirty-three |
| Binary (base 2) | 11011011010001 |
| Octal (base 8) | 33321 |
| Hexadecimal (base 16) | 36D1 |
| Base 3 | 201020202 |
| As time | 14033 seconds = 3 h 53 min 53 s |
Is 14033 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 3) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 14033 a prime number?
Yes. 14033 is divisible only by 1 and itself.
What are the factors of 14033?
1, 14033.
What is 14033 in binary?
11011011010001 (hexadecimal 36D1, octal 33321).
What is the square root of 14033?
About 118.4610.
Is 14033 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14033?
14033 is the 1656th prime number.