The number 2904
2904 is a composite number with 24 divisors. Its prime factorisation is × 3 × . Divisors (24): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132 … 2904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2904 is composite. Its prime factorisation is
- 3
The divisors add up to 7980; without 2904 itself that is 5076, so 2904 is abundant (5076 is more than 2904). Euler's totient φ(2904) = 880 numbers up to 2904 share no factor with it.
- 4
The digits of 2904 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2904 = 2^{3} \times 3 \times 11^{2} \]2904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7980 |
| Euler totient φ(n) | 880 |
| Square | 8433216 |
| Cube | 24490059264 |
| Square root | 53.888774 (= 22√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.904 × |
2904 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and four |
| Roman numerals | MMCMIV |
| Binary (base 2) | 101101011000 |
| Octal (base 8) | 5530 |
| Hexadecimal (base 16) | B58 |
| Base 3 | 10222120 |
| As time | 2904 seconds = 48 min 24 s |
Is 2904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2904 ÷ 2 = 1452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2904 ÷ 3 = 968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2904 ÷ 4 = 726) | 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 (2904 ÷ 6 = 484) | 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 (2904 ÷ 8 = 363) | 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 | Yes (2904 ÷ 11 = 264) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2904 ÷ 12 = 242) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2904 a prime number?
No. 2904 = × 3 × , so it is divisible by 2.
What are the factors of 2904?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904.
What is 2904 in binary?
101101011000 (hexadecimal B58, octal 5530).
What is the square root of 2904?
About 53.8888, exactly 22√6.
What is 2904 in Roman numerals?
MMCMIV.
Is 2904 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2904?
It is a composite number with 24 divisors.