The number 5908
5908 is a composite number with 12 divisors. Its prime factorisation is × 7 × 211. Divisors (12): 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5908 is composite. Its prime factorisation is
- 3
The divisors add up to 11872; without 5908 itself that is 5964, so 5908 is abundant (5964 is more than 5908). Euler's totient φ(5908) = 2520 numbers up to 5908 share no factor with it.
- 4
The digits of 5908 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5908 = 2^{2} \times 7 \times 211 \]5908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11872 |
| Euler totient φ(n) | 2520 |
| Square | 34904464 |
| Cube | 206215573312 |
| Square root | 76.863515 (= 2√1477) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 5.908 × |
5908 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and eight |
| Binary (base 2) | 1011100010100 |
| Octal (base 8) | 13424 |
| Hexadecimal (base 16) | 1714 |
| Base 3 | 22002211 |
| As time | 5908 seconds = 1 h 38 min 28 s |
Is 5908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5908 ÷ 2 = 2954) | 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 (5908 ÷ 4 = 1477) | 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 | Yes (5908 ÷ 7 = 844) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5908 a prime number?
No. 5908 = × 7 × 211, so it is divisible by 2.
What are the factors of 5908?
1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908.
What is 5908 in binary?
1011100010100 (hexadecimal 1714, octal 13424).
What is the square root of 5908?
About 76.8635, exactly 2√1477.
Is 5908 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5908?
It is a composite number with 12 divisors.