The number 8408
8408 is a composite number with 8 divisors. Its prime factorisation is × 1051. Divisors (8): 1, 2, 4, 8, 1051, 2102, 4204, 8408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8408 is composite. Its prime factorisation is
- 3
The divisors add up to 15780; without 8408 itself that is 7372, so 8408 is deficient (7372 is less than 8408). Euler's totient φ(8408) = 4200 numbers up to 8408 share no factor with it.
- 4
The digits of 8408 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8408 = 2^{3} \times 1051 \]8408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15780 |
| Euler totient φ(n) | 4200 |
| Square | 70694464 |
| Cube | 594399053312 |
| Square root | 91.695147 (= 2√2102) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.408 × |
8408 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and eight |
| Binary (base 2) | 10000011011000 |
| Octal (base 8) | 20330 |
| Hexadecimal (base 16) | 20D8 |
| Base 3 | 102112102 |
| As time | 8408 seconds = 2 h 20 min 8 s |
Is 8408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8408 ÷ 2 = 4204) | 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 (8408 ÷ 4 = 2102) | 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 (8408 ÷ 8 = 1051) | 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 4) | 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 8408 a prime number?
No. 8408 = × 1051, so it is divisible by 2.
What are the factors of 8408?
1, 2, 4, 8, 1051, 2102, 4204, 8408.
What is 8408 in binary?
10000011011000 (hexadecimal 20D8, octal 20330).
What is the square root of 8408?
About 91.6951, exactly 2√2102.
Is 8408 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8408?
It is a composite number with 8 divisors.