The number 12081
12081 is a composite number with 4 divisors. Its prime factorisation is 3 × 4027. Divisors (4): 1, 3, 4027, 12081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12081: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4027, the product of two primes.
- 2
12081 is composite. Its prime factorisation is
- 3
The divisors add up to 16112; without 12081 itself that is 4031, so 12081 is deficient (4031 is less than 12081). Euler's totient φ(12081) = 8052 numbers up to 12081 share no factor with it.
- 4
The digits of 12081 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12081 = 3 \times 4027 \]
12081 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16112 |
| Euler totient φ(n) | 8052 |
| Square | 145950561 |
| Cube | 1763228727441 |
| Square root | 109.913602 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.2081 × |
12081 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eighty-one |
| Binary (base 2) | 10111100110001 |
| Octal (base 8) | 27461 |
| Hexadecimal (base 16) | 2F31 |
| Base 3 | 121120110 |
| As time | 12081 seconds = 3 h 21 min 21 s |
Is 12081 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 | Yes (12081 ÷ 3 = 4027) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12081 a prime number?
No. 12081 = 3 × 4027, so it is divisible by 3.
What are the factors of 12081?
1, 3, 4027, 12081.
What is 12081 in binary?
10111100110001 (hexadecimal 2F31, octal 27461).
What is the square root of 12081?
About 109.9136.
Is 12081 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12081?
12081 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4027, the product of two primes.