The number 12604
12604 is a composite number with 12 divisors. Its prime factorisation is × 23 × 137. Divisors (12): 1, 2, 4, 23, 46, 92, 137, 274, 548, 3151, 6302, 12604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12604 is composite. Its prime factorisation is
- 3
The divisors add up to 23184; without 12604 itself that is 10580, so 12604 is deficient (10580 is less than 12604). Euler's totient φ(12604) = 5984 numbers up to 12604 share no factor with it.
- 4
The digits of 12604 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12604 = 2^{2} \times 23 \times 137 \]12604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23184 |
| Euler totient φ(n) | 5984 |
| Square | 158860816 |
| Cube | 2002281724864 |
| Square root | 112.267538 (= 2√3151) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2604 × |
12604 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and four |
| Binary (base 2) | 11000100111100 |
| Octal (base 8) | 30474 |
| Hexadecimal (base 16) | 313C |
| Base 3 | 122021211 |
| As time | 12604 seconds = 3 h 30 min 4 s |
Is 12604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12604 ÷ 2 = 6302) | 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 (12604 ÷ 4 = 3151) | 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 4) | 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 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 9) | 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 12604 a prime number?
No. 12604 = × 23 × 137, so it is divisible by 2.
What are the factors of 12604?
1, 2, 4, 23, 46, 92, 137, 274, 548, 3151, 6302, 12604.
What is 12604 in binary?
11000100111100 (hexadecimal 313C, octal 30474).
What is the square root of 12604?
About 112.2675, exactly 2√3151.
Is 12604 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 12604?
It is a composite number with 12 divisors.