The number 3108
3108 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 37. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148 … 3108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3108: a Harshad number: divisible by its digit sum 12.
- 2
3108 is composite. Its prime factorisation is
- 3
The divisors add up to 8512; without 3108 itself that is 5404, so 3108 is abundant (5404 is more than 3108). Euler's totient φ(3108) = 864 numbers up to 3108 share no factor with it.
- 4
The digits of 3108 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3108 = 2^{2} \times 3 \times 7 \times 37 \]3108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8512 |
| Euler totient φ(n) | 864 |
| Square | 9659664 |
| Cube | 30022235712 |
| Square root | 55.749439 (= 2√777) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.108 × |
3108 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and eight |
| Roman numerals | MMMCVIII |
| Binary (base 2) | 110000100100 |
| Octal (base 8) | 6044 |
| Hexadecimal (base 16) | C24 |
| Base 3 | 11021010 |
| As time | 3108 seconds = 51 min 48 s |
Is 3108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3108 ÷ 2 = 1554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3108 ÷ 3 = 1036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3108 ÷ 4 = 777) | 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 (3108 ÷ 6 = 518) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3108 ÷ 7 = 444) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3108 ÷ 12 = 259) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3108 a prime number?
No. 3108 = × 3 × 7 × 37, so it is divisible by 2.
What are the factors of 3108?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108.
What is 3108 in binary?
110000100100 (hexadecimal C24, octal 6044).
What is the square root of 3108?
About 55.7494, exactly 2√777.
What is 3108 in Roman numerals?
MMMCVIII.
Is 3108 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3108?
3108 is a Harshad number: divisible by its digit sum 12.