The number 4908
4908 is a composite number with 12 divisors. Its prime factorisation is × 3 × 409. Divisors (12): 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4908 is composite. Its prime factorisation is
- 3
The divisors add up to 11480; without 4908 itself that is 6572, so 4908 is abundant (6572 is more than 4908). Euler's totient φ(4908) = 1632 numbers up to 4908 share no factor with it.
- 4
The digits of 4908 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4908 = 2^{2} \times 3 \times 409 \]4908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11480 |
| Euler totient φ(n) | 1632 |
| Square | 24088464 |
| Cube | 118226181312 |
| Square root | 70.057120 (= 2√1227) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 4.908 × |
4908 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and eight |
| Binary (base 2) | 1001100101100 |
| Octal (base 8) | 11454 |
| Hexadecimal (base 16) | 132C |
| Base 3 | 20201210 |
| As time | 4908 seconds = 1 h 21 min 48 s |
Is 4908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4908 ÷ 2 = 2454) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4908 ÷ 3 = 1636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4908 ÷ 4 = 1227) | 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 | Yes (4908 ÷ 6 = 818) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4908 ÷ 12 = 409) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4908 a prime number?
No. 4908 = × 3 × 409, so it is divisible by 2.
What are the factors of 4908?
1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908.
What is 4908 in binary?
1001100101100 (hexadecimal 132C, octal 11454).
What is the square root of 4908?
About 70.0571, exactly 2√1227.
Is 4908 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4908?
It is a composite number with 12 divisors.