The number 9904
9904 is a composite number with 10 divisors. Its prime factorisation is × 619. Divisors (10): 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9904 is composite. Its prime factorisation is
- 3
The divisors add up to 19220; without 9904 itself that is 9316, so 9904 is deficient (9316 is less than 9904). Euler's totient φ(9904) = 4944 numbers up to 9904 share no factor with it.
- 4
The digits of 9904 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9904 = 2^{4} \times 619 \]9904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 19220 |
| Euler totient φ(n) | 4944 |
| Square | 98089216 |
| Cube | 971475595264 |
| Square root | 99.518842 (= 4√619) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.904 × |
9904 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and four |
| Binary (base 2) | 10011010110000 |
| Octal (base 8) | 23260 |
| Hexadecimal (base 16) | 26B0 |
| Base 3 | 111120211 |
| As time | 9904 seconds = 2 h 45 min 4 s |
Is 9904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9904 ÷ 2 = 4952) | 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 (9904 ÷ 4 = 2476) | 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 6) | 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 (9904 ÷ 8 = 1238) | 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 4) | 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 9904 a prime number?
No. 9904 = × 619, so it is divisible by 2.
What are the factors of 9904?
1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904.
What is 9904 in binary?
10011010110000 (hexadecimal 26B0, octal 23260).
What is the square root of 9904?
About 99.5188, exactly 4√619.
Is 9904 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9904?
It is a composite number with 10 divisors.