The number 9104
9104 is a composite number with 10 divisors. Its prime factorisation is × 569. Divisors (10): 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9104 is composite. Its prime factorisation is
- 3
The divisors add up to 17670; without 9104 itself that is 8566, so 9104 is deficient (8566 is less than 9104). Euler's totient φ(9104) = 4544 numbers up to 9104 share no factor with it.
- 4
The digits of 9104 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9104 = 2^{4} \times 569 \]9104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 17670 |
| Euler totient φ(n) | 4544 |
| Square | 82882816 |
| Cube | 754565156864 |
| Square root | 95.414884 (= 4√569) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.104 × |
9104 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and four |
| Binary (base 2) | 10001110010000 |
| Octal (base 8) | 21620 |
| Hexadecimal (base 16) | 2390 |
| Base 3 | 110111012 |
| As time | 9104 seconds = 2 h 31 min 44 s |
Is 9104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9104 ÷ 2 = 4552) | 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 (9104 ÷ 4 = 2276) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (9104 ÷ 8 = 1138) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 9104 a prime number?
No. 9104 = × 569, so it is divisible by 2.
What are the factors of 9104?
1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104.
What is 9104 in binary?
10001110010000 (hexadecimal 2390, octal 21620).
What is the square root of 9104?
About 95.4149, exactly 4√569.
Is 9104 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9104?
It is a composite number with 10 divisors.