The number 12108
12108 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1009. Divisors (12): 1, 2, 3, 4, 6, 12, 1009, 2018, 3027, 4036, 6054, 12108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12108: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
12108 is composite. Its prime factorisation is
- 3
The divisors add up to 28280; without 12108 itself that is 16172, so 12108 is abundant (16172 is more than 12108). Euler's totient φ(12108) = 4032 numbers up to 12108 share no factor with it.
- 4
The digits of 12108 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
\[ 12108 = 2^{2} \times 3 \times 1009 \]12108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28280 |
| Euler totient φ(n) | 4032 |
| Square | 146603664 |
| Cube | 1775077163712 |
| Square root | 110.036358 (= 2√3027) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.2108 × |
12108 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and eight |
| Binary (base 2) | 10111101001100 |
| Octal (base 8) | 27514 |
| Hexadecimal (base 16) | 2F4C |
| Base 3 | 121121110 |
| As time | 12108 seconds = 3 h 21 min 48 s |
Is 12108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12108 ÷ 2 = 6054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12108 ÷ 3 = 4036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12108 ÷ 4 = 3027) | 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 | Yes (12108 ÷ 6 = 2018) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12108 ÷ 12 = 1009) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12108 a prime number?
No. 12108 = × 3 × 1009, so it is divisible by 2.
What are the factors of 12108?
1, 2, 3, 4, 6, 12, 1009, 2018, 3027, 4036, 6054, 12108.
What is 12108 in binary?
10111101001100 (hexadecimal 2F4C, octal 27514).
What is the square root of 12108?
About 110.0364, exactly 2√3027.
Is 12108 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12108?
12108 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.