The number 8109
8109 is a composite number with 12 divisors. Its prime factorisation is × 17 × 53. Divisors (12): 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8109 is composite. Its prime factorisation is
- 3
The divisors add up to 12636; without 8109 itself that is 4527, so 8109 is deficient (4527 is less than 8109). Euler's totient φ(8109) = 4992 numbers up to 8109 share no factor with it.
- 4
The digits of 8109 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8109 = 3^{2} \times 17 \times 53 \]8109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12636 |
| Euler totient φ(n) | 4992 |
| Square | 65755881 |
| Cube | 533214439029 |
| Square root | 90.049986 (= 3√901) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.109 × |
8109 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and nine |
| Binary (base 2) | 1111110101101 |
| Octal (base 8) | 17655 |
| Hexadecimal (base 16) | 1FAD |
| Base 3 | 102010100 |
| As time | 8109 seconds = 2 h 15 min 9 s |
Is 8109 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8109 ÷ 3 = 2703) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8109 ÷ 9 = 901) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8109 a prime number?
No. 8109 = × 17 × 53, so it is divisible by 3.
What are the factors of 8109?
1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109.
What is 8109 in binary?
1111110101101 (hexadecimal 1FAD, octal 17655).
What is the square root of 8109?
About 90.0500, exactly 3√901.
Is 8109 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8109?
It is a composite number with 12 divisors.