The number 12091
12091 is a composite number with 4 divisors. Its prime factorisation is 107 × 113. Divisors (4): 1, 107, 113, 12091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12091: a semiprime: 107 × 113, the product of two primes.
- 2
12091 is composite. Its prime factorisation is
- 3
The divisors add up to 12312; without 12091 itself that is 221, so 12091 is deficient (221 is less than 12091). Euler's totient φ(12091) = 11872 numbers up to 12091 share no factor with it.
- 4
The digits of 12091 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12091 = 107 \times 113 \]
12091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12312 |
| Euler totient φ(n) | 11872 |
| Square | 146192281 |
| Cube | 1767610869571 |
| Square root | 109.959083 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.2091 × |
12091 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and ninety-one |
| Binary (base 2) | 10111100111011 |
| Octal (base 8) | 27473 |
| Hexadecimal (base 16) | 2F3B |
| Base 3 | 121120211 |
| As time | 12091 seconds = 3 h 21 min 31 s |
Is 12091 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 2) | 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 4) | 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 2) | 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 12091 a prime number?
No. 12091 = 107 × 113, so it is divisible by 107.
What are the factors of 12091?
1, 107, 113, 12091.
What is 12091 in binary?
10111100111011 (hexadecimal 2F3B, octal 27473).
What is the square root of 12091?
About 109.9591.
Is 12091 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 12091?
12091 is a semiprime: 107 × 113, the product of two primes.