The number 12036
12036 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 59. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 59, 68, 102, 118, 177, 204, 236 … 12036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12036: a Harshad number: divisible by its digit sum 12.
- 2
12036 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 12036 itself that is 18204, so 12036 is abundant (18204 is more than 12036). Euler's totient φ(12036) = 3712 numbers up to 12036 share no factor with it.
- 4
The digits of 12036 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12036 = 2^{2} \times 3 \times 17 \times 59 \]12036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 3712 |
| Square | 144865296 |
| Cube | 1743598702656 |
| Square root | 109.708705 (= 2√3009) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2036 × |
12036 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and thirty-six |
| Binary (base 2) | 10111100000100 |
| Octal (base 8) | 27404 |
| Hexadecimal (base 16) | 2F04 |
| Base 3 | 121111210 |
| As time | 12036 seconds = 3 h 20 min 36 s |
Is 12036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12036 ÷ 2 = 6018) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12036 ÷ 3 = 4012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12036 ÷ 4 = 3009) | 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 | Yes (12036 ÷ 6 = 2006) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 | Yes (12036 ÷ 12 = 1003) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12036 a prime number?
No. 12036 = × 3 × 17 × 59, so it is divisible by 2.
What are the factors of 12036?
1, 2, 3, 4, 6, 12, 17, 34, 51, 59, 68, 102, 118, 177, 204, 236, 354, 708, 1003, 2006, 3009, 4012, 6018, 12036.
What is 12036 in binary?
10111100000100 (hexadecimal 2F04, octal 27404).
What is the square root of 12036?
About 109.7087, exactly 2√3009.
Is 12036 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12036?
12036 is a Harshad number: divisible by its digit sum 12.