The number 12071
12071 is a twin prime (12071 and 12073 are both prime) and the 1445th prime number. Its only divisors are 1 and 12071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12071: a twin prime (12071 and 12073 are both prime); the 1445th prime number.
- 2
12071 is prime, so its only factors are 1 and 12071. It is the 1445th prime; the next prime is 12073 and the one before is 12049.
- 3
The divisors add up to 12072; without 12071 itself that is 1, so 12071 is deficient (1 is less than 12071). Euler's totient φ(12071) = 12070 numbers up to 12071 share no factor with it.
- 4
The digits of 12071 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 42 steps to reach 1.
12071 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12072 |
| Euler totient φ(n) | 12070 |
| Square | 145709041 |
| Cube | 1758853833911 |
| Square root | 109.868103 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2071 × |
12071 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and seventy-one |
| Binary (base 2) | 10111100100111 |
| Octal (base 8) | 27447 |
| Hexadecimal (base 16) | 2F27 |
| Base 3 | 121120002 |
| As time | 12071 seconds = 3 h 21 min 11 s |
Is 12071 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12071 a prime number?
Yes. 12071 is divisible only by 1 and itself.
What are the factors of 12071?
1, 12071.
What is 12071 in binary?
10111100100111 (hexadecimal 2F27, octal 27447).
What is the square root of 12071?
About 109.8681.
Is 12071 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12071?
12071 is a twin prime (12071 and 12073 are both prime); the 1445th prime number.