The number 2108
2108 is a composite number with 12 divisors. Its prime factorisation is × 17 × 31. Divisors (12): 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2108 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 2108 itself that is 1924, so 2108 is deficient (1924 is less than 2108). Euler's totient φ(2108) = 960 numbers up to 2108 share no factor with it.
- 4
The digits of 2108 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2108 = 2^{2} \times 17 \times 31 \]2108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 960 |
| Square | 4443664 |
| Cube | 9367243712 |
| Square root | 45.912961 (= 2√527) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 81 |
| Scientific notation | 2.108 × |
2108 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and eight |
| Roman numerals | MMCVIII |
| Binary (base 2) | 100000111100 |
| Octal (base 8) | 4074 |
| Hexadecimal (base 16) | 83C |
| Base 3 | 2220002 |
| As time | 2108 seconds = 35 min 8 s |
Is 2108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2108 ÷ 2 = 1054) | 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 (2108 ÷ 4 = 527) | 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 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 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 7) | 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 2108 a prime number?
No. 2108 = × 17 × 31, so it is divisible by 2.
What are the factors of 2108?
1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108.
What is 2108 in binary?
100000111100 (hexadecimal 83C, octal 4074).
What is the square root of 2108?
About 45.9130, exactly 2√527.
What is 2108 in Roman numerals?
MMCVIII.
Is 2108 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2108?
It is a composite number with 12 divisors.