The number 36012
36012 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3001. Divisors (12): 1, 2, 3, 4, 6, 12, 3001, 6002, 9003, 12004, 18006, 36012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36012: a Harshad number: divisible by its digit sum 12.
- 2
36012 is composite. Its prime factorisation is
- 3
The divisors add up to 84056; without 36012 itself that is 48044, so 36012 is abundant (48044 is more than 36012). Euler's totient φ(36012) = 12000 numbers up to 36012 share no factor with it.
- 4
The digits of 36012 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36012 = 2^{2} \times 3 \times 3001 \]36012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84056 |
| Euler totient φ(n) | 12000 |
| Square | 1296864144 |
| Cube | 46702671553728 |
| Square root | 189.768280 (= 2√9003) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.6012 × |
36012 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and twelve |
| Binary (base 2) | 1000110010101100 |
| Octal (base 8) | 106254 |
| Hexadecimal (base 16) | 8CAC |
| Base 3 | 1211101210 |
| As time | 36012 seconds = 10 h 0 min 12 s |
Is 36012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36012 ÷ 2 = 18006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36012 ÷ 3 = 12004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36012 ÷ 4 = 9003) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36012 ÷ 6 = 6002) | 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 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36012 ÷ 12 = 3001) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36012 a prime number?
No. 36012 = × 3 × 3001, so it is divisible by 2.
What are the factors of 36012?
1, 2, 3, 4, 6, 12, 3001, 6002, 9003, 12004, 18006, 36012.
What is 36012 in binary?
1000110010101100 (hexadecimal 8CAC, octal 106254).
What is the square root of 36012?
About 189.7683, exactly 2√9003.
Is 36012 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 36012?
36012 is a Harshad number: divisible by its digit sum 12.