The number 908
908 is a composite number with 6 divisors. Its prime factorisation is × 227. Divisors (6): 1, 2, 4, 227, 454, 908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
908 is composite. Its prime factorisation is
- 3
The divisors add up to 1596; without 908 itself that is 688, so 908 is deficient (688 is less than 908). Euler's totient φ(908) = 452 numbers up to 908 share no factor with it.
- 4
The digits of 908 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 908 = 2^{2} \times 227 \]908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1596 |
| Euler totient φ(n) | 452 |
| Square | 824464 |
| Cube | 748613312 |
| Square root | 30.133038 (= 2√227) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 15 |
| Scientific notation | 9.08 × |
908 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eight |
| Roman numerals | CMVIII |
| Binary (base 2) | 1110001100 |
| Octal (base 8) | 1614 |
| Hexadecimal (base 16) | 38C |
| Base 3 | 1020122 |
| As time | 908 seconds = 15 min 8 s |
Is 908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (908 ÷ 2 = 454) | 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 (908 ÷ 4 = 227) | 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 5) | 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 8) | 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 6) | 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 908 a prime number?
No. 908 = × 227, so it is divisible by 2.
What are the factors of 908?
1, 2, 4, 227, 454, 908.
What is 908 in binary?
1110001100 (hexadecimal 38C, octal 1614).
What is the square root of 908?
About 30.1330, exactly 2√227.
What is 908 in Roman numerals?
CMVIII.
Is 908 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 908?
It is a composite number with 6 divisors.