The number 14011
14011 is a twin prime (14009 and 14011 are both prime) and the 1654th prime number. Its only divisors are 1 and 14011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14011: a twin prime (14009 and 14011 are both prime); the 1654th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14011 is prime, so its only factors are 1 and 14011. It is the 1654th prime; the next prime is 14029 and the one before is 14009.
- 3
The divisors add up to 14012; without 14011 itself that is 1, so 14011 is deficient (1 is less than 14011). Euler's totient φ(14011) = 14010 numbers up to 14011 share no factor with it.
- 4
The digits of 14011 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
14011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14012 |
| Euler totient φ(n) | 14010 |
| Square | 196308121 |
| Cube | 2750473083331 |
| Square root | 118.368070 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.4011 × |
14011 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eleven |
| Binary (base 2) | 11011010111011 |
| Octal (base 8) | 33273 |
| Hexadecimal (base 16) | 36BB |
| Base 3 | 201012221 |
| As time | 14011 seconds = 3 h 53 min 31 s |
Is 14011 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 3) | 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 1) | 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 3) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14011 a prime number?
Yes. 14011 is divisible only by 1 and itself.
What are the factors of 14011?
1, 14011.
What is 14011 in binary?
11011010111011 (hexadecimal 36BB, octal 33273).
What is the square root of 14011?
About 118.3681.
Is 14011 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 14011?
14011 is a twin prime (14009 and 14011 are both prime); the 1654th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.