The number 84012
84012 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7001. Divisors (12): 1, 2, 3, 4, 6, 12, 7001, 14002, 21003, 28004, 42006, 84012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84012 is composite. Its prime factorisation is
- 3
The divisors add up to 196056; without 84012 itself that is 112044, so 84012 is abundant (112044 is more than 84012). Euler's totient φ(84012) = 28000 numbers up to 84012 share no factor with it.
- 4
The digits of 84012 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84012 = 2^{2} \times 3 \times 7001 \]84012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 196056 |
| Euler totient φ(n) | 28000 |
| Square | 7058016144 |
| Cube | 592958052289728 |
| Square root | 289.848236 (= 2√21003) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.4012 × |
84012 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and twelve |
| Binary (base 2) | 10100100000101100 |
| Octal (base 8) | 244054 |
| Hexadecimal (base 16) | 1482C |
| Base 3 | 11021020120 |
| As time | 84012 seconds = 23 h 20 min 12 s |
Is 84012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84012 ÷ 2 = 42006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84012 ÷ 3 = 28004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84012 ÷ 4 = 21003) | 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 (84012 ÷ 6 = 14002) | 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (84012 ÷ 12 = 7001) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84012 a prime number?
No. 84012 = × 3 × 7001, so it is divisible by 2.
What are the factors of 84012?
1, 2, 3, 4, 6, 12, 7001, 14002, 21003, 28004, 42006, 84012.
What is 84012 in binary?
10100100000101100 (hexadecimal 1482C, octal 244054).
What is the square root of 84012?
About 289.8482, exactly 2√21003.
Is 84012 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 84012?
It is a composite number with 12 divisors.