The number 84408
84408 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3517. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3517, 7034, 10551, 14068, 21102, 28136, 42204, 84408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84408: a Harshad number: divisible by its digit sum 24.
- 2
84408 is composite. Its prime factorisation is
- 3
The divisors add up to 211080; without 84408 itself that is 126672, so 84408 is abundant (126672 is more than 84408). Euler's totient φ(84408) = 28128 numbers up to 84408 share no factor with it.
- 4
The digits of 84408 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84408 = 2^{3} \times 3 \times 3517 \]84408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 211080 |
| Euler totient φ(n) | 28128 |
| Square | 7124710464 |
| Cube | 601382560845312 |
| Square root | 290.530549 (= 2√21102) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.4408 × |
84408 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred and eight |
| Binary (base 2) | 10100100110111000 |
| Octal (base 8) | 244670 |
| Hexadecimal (base 16) | 149B8 |
| Base 3 | 11021210020 |
| As time | 84408 seconds = 23 h 26 min 48 s |
Is 84408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84408 ÷ 2 = 42204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84408 ÷ 3 = 28136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84408 ÷ 4 = 21102) | 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 | Yes (84408 ÷ 6 = 14068) | 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 | Yes (84408 ÷ 8 = 10551) | 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 8) | 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 (84408 ÷ 12 = 7034) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84408 a prime number?
No. 84408 = × 3 × 3517, so it is divisible by 2.
What are the factors of 84408?
1, 2, 3, 4, 6, 8, 12, 24, 3517, 7034, 10551, 14068, 21102, 28136, 42204, 84408.
What is 84408 in binary?
10100100110111000 (hexadecimal 149B8, octal 244670).
What is the square root of 84408?
About 290.5305, exactly 2√21102.
Is 84408 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 84408?
84408 is a Harshad number: divisible by its digit sum 24.