The number 8904
8904 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 53. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84 … 8904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8904: a Harshad number: divisible by its digit sum 21.
- 2
8904 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 8904 itself that is 17016, so 8904 is abundant (17016 is more than 8904). Euler's totient φ(8904) = 2496 numbers up to 8904 share no factor with it.
- 4
The digits of 8904 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8904 = 2^{3} \times 3 \times 7 \times 53 \]8904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 2496 |
| Square | 79281216 |
| Cube | 705919947264 |
| Square root | 94.361009 (= 2√2226) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.904 × |
8904 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and four |
| Binary (base 2) | 10001011001000 |
| Octal (base 8) | 21310 |
| Hexadecimal (base 16) | 22C8 |
| Base 3 | 110012210 |
| As time | 8904 seconds = 2 h 28 min 24 s |
Is 8904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8904 ÷ 2 = 4452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8904 ÷ 3 = 2968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8904 ÷ 4 = 2226) | 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 (8904 ÷ 6 = 1484) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8904 ÷ 7 = 1272) | 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 (8904 ÷ 8 = 1113) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8904 ÷ 12 = 742) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8904 a prime number?
No. 8904 = × 3 × 7 × 53, so it is divisible by 2.
What are the factors of 8904?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904.
What is 8904 in binary?
10001011001000 (hexadecimal 22C8, octal 21310).
What is the square root of 8904?
About 94.3610, exactly 2√2226.
Is 8904 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8904?
8904 is a Harshad number: divisible by its digit sum 21.