The number 84008
84008 is a composite number with 8 divisors. Its prime factorisation is × 10501. Divisors (8): 1, 2, 4, 8, 10501, 21002, 42004, 84008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84008 is composite. Its prime factorisation is
- 3
The divisors add up to 157530; without 84008 itself that is 73522, so 84008 is deficient (73522 is less than 84008). Euler's totient φ(84008) = 42000 numbers up to 84008 share no factor with it.
- 4
The digits of 84008 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84008 = 2^{3} \times 10501 \]84008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 157530 |
| Euler totient φ(n) | 42000 |
| Square | 7057344064 |
| Cube | 592873360128512 |
| Square root | 289.841336 (= 2√21002) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.4008 × |
84008 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and eight |
| Binary (base 2) | 10100100000101000 |
| Octal (base 8) | 244050 |
| Hexadecimal (base 16) | 14828 |
| Base 3 | 11021020102 |
| As time | 84008 seconds = 23 h 20 min 8 s |
Is 84008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84008 ÷ 2 = 42004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84008 ÷ 4 = 21002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (84008 ÷ 8 = 10501) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84008 a prime number?
No. 84008 = × 10501, so it is divisible by 2.
What are the factors of 84008?
1, 2, 4, 8, 10501, 21002, 42004, 84008.
What is 84008 in binary?
10100100000101000 (hexadecimal 14828, octal 244050).
What is the square root of 84008?
About 289.8413, exactly 2√21002.
Is 84008 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 84008?
It is a composite number with 8 divisors.