The number 12023
12023 is a composite number with 4 divisors. Its prime factorisation is 11 × 1093. Divisors (4): 1, 11, 1093, 12023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12023: a semiprime: 11 × 1093, the product of two primes.
- 2
12023 is composite. Its prime factorisation is
- 3
The divisors add up to 13128; without 12023 itself that is 1105, so 12023 is deficient (1105 is less than 12023). Euler's totient φ(12023) = 10920 numbers up to 12023 share no factor with it.
- 4
The digits of 12023 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12023 = 11 \times 1093 \]
12023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13128 |
| Euler totient φ(n) | 10920 |
| Square | 144552529 |
| Cube | 1737955056167 |
| Square root | 109.649441 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2023 × |
12023 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and twenty-three |
| Binary (base 2) | 10111011110111 |
| Octal (base 8) | 27367 |
| Hexadecimal (base 16) | 2EF7 |
| Base 3 | 121111022 |
| As time | 12023 seconds = 3 h 20 min 23 s |
Is 12023 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (12023 ÷ 11 = 1093) | 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 12023 a prime number?
No. 12023 = 11 × 1093, so it is divisible by 11.
What are the factors of 12023?
1, 11, 1093, 12023.
What is 12023 in binary?
10111011110111 (hexadecimal 2EF7, octal 27367).
What is the square root of 12023?
About 109.6494.
Is 12023 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12023?
12023 is a semiprime: 11 × 1093, the product of two primes.