The number 12073
12073 is a twin prime (12071 and 12073 are both prime) and the 1446th prime number. Its only divisors are 1 and 12073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12073: a twin prime (12071 and 12073 are both prime); the 1446th prime number.
- 2
12073 is prime, so its only factors are 1 and 12073. It is the 1446th prime; the next prime is 12097 and the one before is 12071.
- 3
The divisors add up to 12074; without 12073 itself that is 1, so 12073 is deficient (1 is less than 12073). Euler's totient φ(12073) = 12072 numbers up to 12073 share no factor with it.
- 4
The digits of 12073 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
12073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12074 |
| Euler totient φ(n) | 12072 |
| Square | 145757329 |
| Cube | 1759728233017 |
| Square root | 109.877204 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2073 × |
12073 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and seventy-three |
| Binary (base 2) | 10111100101001 |
| Octal (base 8) | 27451 |
| Hexadecimal (base 16) | 2F29 |
| Base 3 | 121120011 |
| As time | 12073 seconds = 3 h 21 min 13 s |
Is 12073 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 3) | 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 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 4) | 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 6) | 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 12073 a prime number?
Yes. 12073 is divisible only by 1 and itself.
What are the factors of 12073?
1, 12073.
What is 12073 in binary?
10111100101001 (hexadecimal 2F29, octal 27451).
What is the square root of 12073?
About 109.8772.
Is 12073 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 12073?
12073 is a twin prime (12071 and 12073 are both prime); the 1446th prime number.