The number 84006
84006 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 359. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 359, 718, 1077, 2154 … 84006.
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How to work it out
- 1
What is special about 84006: a Harshad number: divisible by its digit sum 18.
- 2
84006 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 84006 itself that is 112554, so 84006 is abundant (112554 is more than 84006). Euler's totient φ(84006) = 25776 numbers up to 84006 share no factor with it.
- 4
The digits of 84006 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84006 = 2 \times 3^{2} \times 13 \times 359 \]84006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 25776 |
| Square | 7057008036 |
| Cube | 592831017072216 |
| Square root | 289.837886 (= 3√9334) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4006 × |
84006 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and six |
| Binary (base 2) | 10100100000100110 |
| Octal (base 8) | 244046 |
| Hexadecimal (base 16) | 14826 |
| Base 3 | 11021020100 |
| As time | 84006 seconds = 23 h 20 min 6 s |
Is 84006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84006 ÷ 2 = 42003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84006 ÷ 3 = 28002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (84006 ÷ 6 = 14001) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84006 ÷ 9 = 9334) | 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 10) | 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 84006 a prime number?
No. 84006 = 2 × × 13 × 359, so it is divisible by 2.
What are the factors of 84006?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 359, 718, 1077, 2154, 3231, 4667, 6462, 9334, 14001, 28002, 42003, 84006.
What is 84006 in binary?
10100100000100110 (hexadecimal 14826, octal 244046).
What is the square root of 84006?
About 289.8379, exactly 3√9334.
Is 84006 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 84006?
84006 is a Harshad number: divisible by its digit sum 18.