The number 8108
8108 is a composite number with 6 divisors. Its prime factorisation is × 2027. Divisors (6): 1, 2, 4, 2027, 4054, 8108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8108: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8108 is composite. Its prime factorisation is
- 3
The divisors add up to 14196; without 8108 itself that is 6088, so 8108 is deficient (6088 is less than 8108). Euler's totient φ(8108) = 4052 numbers up to 8108 share no factor with it.
- 4
The digits of 8108 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8108 = 2^{2} \times 2027 \]8108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14196 |
| Euler totient φ(n) | 4052 |
| Square | 65739664 |
| Cube | 533017195712 |
| Square root | 90.044433 (= 2√2027) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.108 × |
8108 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and eight |
| Binary (base 2) | 1111110101100 |
| Octal (base 8) | 17654 |
| Hexadecimal (base 16) | 1FAC |
| Base 3 | 102010022 |
| As time | 8108 seconds = 2 h 15 min 8 s |
Is 8108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8108 ÷ 2 = 4054) | 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 (8108 ÷ 4 = 2027) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8108 a prime number?
No. 8108 = × 2027, so it is divisible by 2.
What are the factors of 8108?
1, 2, 4, 2027, 4054, 8108.
What is 8108 in binary?
1111110101100 (hexadecimal 1FAC, octal 17654).
What is the square root of 8108?
About 90.0444, exactly 2√2027.
Is 8108 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8108?
8108 is a happy number: repeatedly adding the squares of its digits reaches 1.