The number 14081
14081 is a twin prime (14081 and 14083 are both prime) and the 1660th prime number. Its only divisors are 1 and 14081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14081: a twin prime (14081 and 14083 are both prime); the 1660th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14081 is prime, so its only factors are 1 and 14081. It is the 1660th prime; the next prime is 14083 and the one before is 14071.
- 3
The divisors add up to 14082; without 14081 itself that is 1, so 14081 is deficient (1 is less than 14081). Euler's totient φ(14081) = 14080 numbers up to 14081 share no factor with it.
- 4
The digits of 14081 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 58 steps to reach 1.
14081 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14082 |
| Euler totient φ(n) | 14080 |
| Square | 198274561 |
| Cube | 2791904093441 |
| Square root | 118.663389 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4081 × |
14081 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eighty-one |
| Binary (base 2) | 11011100000001 |
| Octal (base 8) | 33401 |
| Hexadecimal (base 16) | 3701 |
| Base 3 | 201022112 |
| As time | 14081 seconds = 3 h 54 min 41 s |
Is 14081 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 1) | 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 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 14081 a prime number?
Yes. 14081 is divisible only by 1 and itself.
What are the factors of 14081?
1, 14081.
What is 14081 in binary?
11011100000001 (hexadecimal 3701, octal 33401).
What is the square root of 14081?
About 118.6634.
Is 14081 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14081?
14081 is a twin prime (14081 and 14083 are both prime); the 1660th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.