The number 42012
42012 is a composite number with 24 divisors. Its prime factorisation is × × 389. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 389, 778, 1167, 1556 … 42012.
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How to work it out
- 1
What is special about 42012: a Harshad number: divisible by its digit sum 9.
- 2
42012 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 42012 itself that is 67188, so 42012 is abundant (67188 is more than 42012). Euler's totient φ(42012) = 13968 numbers up to 42012 share no factor with it.
- 4
The digits of 42012 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42012 = 2^{2} \times 3^{3} \times 389 \]42012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 13968 |
| Square | 1765008144 |
| Cube | 74151522145728 |
| Square root | 204.968290 (= 6√1167) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2012 × |
42012 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and twelve |
| Binary (base 2) | 1010010000011100 |
| Octal (base 8) | 122034 |
| Hexadecimal (base 16) | A41C |
| Base 3 | 2010122000 |
| As time | 42012 seconds = 11 h 40 min 12 s |
Is 42012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42012 ÷ 2 = 21006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42012 ÷ 3 = 14004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42012 ÷ 4 = 10503) | 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 (42012 ÷ 6 = 7002) | 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 | Yes (42012 ÷ 9 = 4668) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42012 ÷ 12 = 3501) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42012 a prime number?
No. 42012 = × × 389, so it is divisible by 2.
What are the factors of 42012?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 389, 778, 1167, 1556, 2334, 3501, 4668, 7002, 10503, 14004, 21006, 42012.
What is 42012 in binary?
1010010000011100 (hexadecimal A41C, octal 122034).
What is the square root of 42012?
About 204.9683, exactly 6√1167.
Is 42012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42012?
42012 is a Harshad number: divisible by its digit sum 9.