The number 84004
84004 is a composite number with 6 divisors. Its prime factorisation is × 21001. Divisors (6): 1, 2, 4, 21001, 42002, 84004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84004 is composite. Its prime factorisation is
- 3
The divisors add up to 147014; without 84004 itself that is 63010, so 84004 is deficient (63010 is less than 84004). Euler's totient φ(84004) = 42000 numbers up to 84004 share no factor with it.
- 4
The digits of 84004 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84004 = 2^{2} \times 21001 \]84004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 147014 |
| Euler totient φ(n) | 42000 |
| Square | 7056672016 |
| Cube | 592788676032064 |
| Square root | 289.834435 (= 2√21001) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4004 × |
84004 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and four |
| Binary (base 2) | 10100100000100100 |
| Octal (base 8) | 244044 |
| Hexadecimal (base 16) | 14824 |
| Base 3 | 11021020021 |
| As time | 84004 seconds = 23 h 20 min 4 s |
Is 84004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84004 ÷ 2 = 42002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84004 ÷ 4 = 21001) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84004 a prime number?
No. 84004 = × 21001, so it is divisible by 2.
What are the factors of 84004?
1, 2, 4, 21001, 42002, 84004.
What is 84004 in binary?
10100100000100100 (hexadecimal 14824, octal 244044).
What is the square root of 84004?
About 289.8344, exactly 2√21001.
Is 84004 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 84004?
It is a composite number with 6 divisors.