The number 84009
84009 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 683. Divisors (8): 1, 3, 41, 123, 683, 2049, 28003, 84009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84009 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 84009 itself that is 30903, so 84009 is deficient (30903 is less than 84009). Euler's totient φ(84009) = 54560 numbers up to 84009 share no factor with it.
- 4
The digits of 84009 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84009 = 3 \times 41 \times 683 \]
84009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 54560 |
| Square | 7057512081 |
| Cube | 592894532412729 |
| Square root | 289.843061 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4009 × |
84009 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and nine |
| Binary (base 2) | 10100100000101001 |
| Octal (base 8) | 244051 |
| Hexadecimal (base 16) | 14829 |
| Base 3 | 11021020110 |
| As time | 84009 seconds = 23 h 20 min 9 s |
Is 84009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84009 ÷ 3 = 28003) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84009 a prime number?
No. 84009 = 3 × 41 × 683, so it is divisible by 3.
What are the factors of 84009?
1, 3, 41, 123, 683, 2049, 28003, 84009.
What is 84009 in binary?
10100100000101001 (hexadecimal 14829, octal 244051).
What is the square root of 84009?
About 289.8431.
Is 84009 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84009?
It is a composite number with 8 divisors.