The number 8104
8104 is a composite number with 8 divisors. Its prime factorisation is × 1013. Divisors (8): 1, 2, 4, 8, 1013, 2026, 4052, 8104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8104 is composite. Its prime factorisation is
- 3
The divisors add up to 15210; without 8104 itself that is 7106, so 8104 is deficient (7106 is less than 8104). Euler's totient φ(8104) = 4048 numbers up to 8104 share no factor with it.
- 4
The digits of 8104 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8104 = 2^{3} \times 1013 \]8104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15210 |
| Euler totient φ(n) | 4048 |
| Square | 65674816 |
| Cube | 532228708864 |
| Square root | 90.022219 (= 2√2026) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.104 × |
8104 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and four |
| Binary (base 2) | 1111110101000 |
| Octal (base 8) | 17650 |
| Hexadecimal (base 16) | 1FA8 |
| Base 3 | 102010011 |
| As time | 8104 seconds = 2 h 15 min 4 s |
Is 8104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8104 ÷ 2 = 4052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8104 ÷ 4 = 2026) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (8104 ÷ 8 = 1013) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8104 a prime number?
No. 8104 = × 1013, so it is divisible by 2.
What are the factors of 8104?
1, 2, 4, 8, 1013, 2026, 4052, 8104.
What is 8104 in binary?
1111110101000 (hexadecimal 1FA8, octal 17650).
What is the square root of 8104?
About 90.0222, exactly 2√2026.
Is 8104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8104?
It is a composite number with 8 divisors.