The number 8908
8908 is a composite number with 12 divisors. Its prime factorisation is × 17 × 131. Divisors (12): 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8908 is composite. Its prime factorisation is
- 3
The divisors add up to 16632; without 8908 itself that is 7724, so 8908 is deficient (7724 is less than 8908). Euler's totient φ(8908) = 4160 numbers up to 8908 share no factor with it.
- 4
The digits of 8908 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8908 = 2^{2} \times 17 \times 131 \]8908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16632 |
| Euler totient φ(n) | 4160 |
| Square | 79352464 |
| Cube | 706871749312 |
| Square root | 94.382202 (= 2√2227) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.908 × |
8908 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eight |
| Binary (base 2) | 10001011001100 |
| Octal (base 8) | 21314 |
| Hexadecimal (base 16) | 22CC |
| Base 3 | 110012221 |
| As time | 8908 seconds = 2 h 28 min 28 s |
Is 8908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8908 ÷ 2 = 4454) | 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 (8908 ÷ 4 = 2227) | 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 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 8908 a prime number?
No. 8908 = × 17 × 131, so it is divisible by 2.
What are the factors of 8908?
1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908.
What is 8908 in binary?
10001011001100 (hexadecimal 22CC, octal 21314).
What is the square root of 8908?
About 94.3822, exactly 2√2227.
Is 8908 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8908?
It is a composite number with 12 divisors.