The number 9204
9204 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 59. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236 … 9204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9204 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 9204 itself that is 14316, so 9204 is abundant (14316 is more than 9204). Euler's totient φ(9204) = 2784 numbers up to 9204 share no factor with it.
- 4
The digits of 9204 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9204 = 2^{2} \times 3 \times 13 \times 59 \]9204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 2784 |
| Square | 84713616 |
| Cube | 779704121664 |
| Square root | 95.937480 (= 2√2301) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.204 × |
9204 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and four |
| Binary (base 2) | 10001111110100 |
| Octal (base 8) | 21764 |
| Hexadecimal (base 16) | 23F4 |
| Base 3 | 110121220 |
| As time | 9204 seconds = 2 h 33 min 24 s |
Is 9204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9204 ÷ 2 = 4602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9204 ÷ 3 = 3068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9204 ÷ 4 = 2301) | 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 | Yes (9204 ÷ 6 = 1534) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (9204 ÷ 12 = 767) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9204 a prime number?
No. 9204 = × 3 × 13 × 59, so it is divisible by 2.
What are the factors of 9204?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204.
What is 9204 in binary?
10001111110100 (hexadecimal 23F4, octal 21764).
What is the square root of 9204?
About 95.9375, exactly 2√2301.
Is 9204 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9204?
It is a composite number with 24 divisors.