The number 12042
12042 is a composite number with 16 divisors. Its prime factorisation is 2 × × 223. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 223, 446, 669, 1338, 2007, 4014, 6021, 12042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12042: a Harshad number: divisible by its digit sum 9.
- 2
12042 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 12042 itself that is 14838, so 12042 is abundant (14838 is more than 12042). Euler's totient φ(12042) = 3996 numbers up to 12042 share no factor with it.
- 4
The digits of 12042 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12042 = 2 \times 3^{3} \times 223 \]12042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 3996 |
| Square | 145009764 |
| Cube | 1746207578088 |
| Square root | 109.736047 (= 3√1338) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2042 × |
12042 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and forty-two |
| Binary (base 2) | 10111100001010 |
| Octal (base 8) | 27412 |
| Hexadecimal (base 16) | 2F0A |
| Base 3 | 121112000 |
| As time | 12042 seconds = 3 h 20 min 42 s |
Is 12042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12042 ÷ 2 = 6021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12042 ÷ 3 = 4014) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (12042 ÷ 6 = 2007) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12042 ÷ 9 = 1338) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12042 a prime number?
No. 12042 = 2 × × 223, so it is divisible by 2.
What are the factors of 12042?
1, 2, 3, 6, 9, 18, 27, 54, 223, 446, 669, 1338, 2007, 4014, 6021, 12042.
What is 12042 in binary?
10111100001010 (hexadecimal 2F0A, octal 27412).
What is the square root of 12042?
About 109.7360, exactly 3√1338.
Is 12042 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 12042?
12042 is a Harshad number: divisible by its digit sum 9.