The number 12904
12904 is a composite number with 8 divisors. Its prime factorisation is × 1613. Divisors (8): 1, 2, 4, 8, 1613, 3226, 6452, 12904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12904 is composite. Its prime factorisation is
- 3
The divisors add up to 24210; without 12904 itself that is 11306, so 12904 is deficient (11306 is less than 12904). Euler's totient φ(12904) = 6448 numbers up to 12904 share no factor with it.
- 4
The digits of 12904 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12904 = 2^{3} \times 1613 \]12904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24210 |
| Euler totient φ(n) | 6448 |
| Square | 166513216 |
| Cube | 2148686539264 |
| Square root | 113.595775 (= 2√3226) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.2904 × |
12904 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and four |
| Binary (base 2) | 11001001101000 |
| Octal (base 8) | 31150 |
| Hexadecimal (base 16) | 3268 |
| Base 3 | 122200221 |
| As time | 12904 seconds = 3 h 35 min 4 s |
Is 12904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12904 ÷ 2 = 6452) | 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 (12904 ÷ 4 = 3226) | 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 3) | 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 (12904 ÷ 8 = 1613) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 12904 a prime number?
No. 12904 = × 1613, so it is divisible by 2.
What are the factors of 12904?
1, 2, 4, 8, 1613, 3226, 6452, 12904.
What is 12904 in binary?
11001001101000 (hexadecimal 3268, octal 31150).
What is the square root of 12904?
About 113.5958, exactly 2√3226.
Is 12904 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12904?
It is a composite number with 8 divisors.