The number 16604
16604 is a composite number with 12 divisors. Its prime factorisation is × 7 × 593. Divisors (12): 1, 2, 4, 7, 14, 28, 593, 1186, 2372, 4151, 8302, 16604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16604 is composite. Its prime factorisation is
- 3
The divisors add up to 33264; without 16604 itself that is 16660, so 16604 is abundant (16660 is more than 16604). Euler's totient φ(16604) = 7104 numbers up to 16604 share no factor with it.
- 4
The digits of 16604 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16604 = 2^{2} \times 7 \times 593 \]16604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33264 |
| Euler totient φ(n) | 7104 |
| Square | 275692816 |
| Cube | 4577603516864 |
| Square root | 128.856509 (= 2√4151) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6604 × |
16604 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and four |
| Binary (base 2) | 100000011011100 |
| Octal (base 8) | 40334 |
| Hexadecimal (base 16) | 40DC |
| Base 3 | 211202222 |
| As time | 16604 seconds = 4 h 36 min 44 s |
Is 16604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16604 ÷ 2 = 8302) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16604 ÷ 4 = 4151) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16604 ÷ 7 = 2372) | 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 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16604 a prime number?
No. 16604 = × 7 × 593, so it is divisible by 2.
What are the factors of 16604?
1, 2, 4, 7, 14, 28, 593, 1186, 2372, 4151, 8302, 16604.
What is 16604 in binary?
100000011011100 (hexadecimal 40DC, octal 40334).
What is the square root of 16604?
About 128.8565, exactly 2√4151.
Is 16604 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16604?
It is a composite number with 12 divisors.