The number 3908
3908 is a composite number with 6 divisors. Its prime factorisation is × 977. Divisors (6): 1, 2, 4, 977, 1954, 3908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3908 is composite. Its prime factorisation is
- 3
The divisors add up to 6846; without 3908 itself that is 2938, so 3908 is deficient (2938 is less than 3908). Euler's totient φ(3908) = 1952 numbers up to 3908 share no factor with it.
- 4
The digits of 3908 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 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3908 = 2^{2} \times 977 \]3908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6846 |
| Euler totient φ(n) | 1952 |
| Square | 15272464 |
| Cube | 59684789312 |
| Square root | 62.513998 (= 2√977) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.908 × |
3908 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and eight |
| Roman numerals | MMMCMVIII |
| Binary (base 2) | 111101000100 |
| Octal (base 8) | 7504 |
| Hexadecimal (base 16) | F44 |
| Base 3 | 12100202 |
| As time | 3908 seconds = 1 h 5 min 8 s |
Is 3908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3908 ÷ 2 = 1954) | 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 (3908 ÷ 4 = 977) | 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 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 | No (remainder 4) | 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 3) | 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 3908 a prime number?
No. 3908 = × 977, so it is divisible by 2.
What are the factors of 3908?
1, 2, 4, 977, 1954, 3908.
What is 3908 in binary?
111101000100 (hexadecimal F44, octal 7504).
What is the square root of 3908?
About 62.5140, exactly 2√977.
What is 3908 in Roman numerals?
MMMCMVIII.
Is 3908 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3908?
It is a composite number with 6 divisors.