The number 16904
16904 is a composite number with 8 divisors. Its prime factorisation is × 2113. Divisors (8): 1, 2, 4, 8, 2113, 4226, 8452, 16904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16904 is composite. Its prime factorisation is
- 3
The divisors add up to 31710; without 16904 itself that is 14806, so 16904 is deficient (14806 is less than 16904). Euler's totient φ(16904) = 8448 numbers up to 16904 share no factor with it.
- 4
The digits of 16904 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16904 = 2^{3} \times 2113 \]16904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31710 |
| Euler totient φ(n) | 8448 |
| Square | 285745216 |
| Cube | 4830237131264 |
| Square root | 130.015384 (= 2√4226) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6904 × |
16904 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and four |
| Binary (base 2) | 100001000001000 |
| Octal (base 8) | 41010 |
| Hexadecimal (base 16) | 4208 |
| Base 3 | 212012002 |
| As time | 16904 seconds = 4 h 41 min 44 s |
Is 16904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16904 ÷ 2 = 8452) | 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 (16904 ÷ 4 = 4226) | 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 | 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 (16904 ÷ 8 = 2113) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 16904 a prime number?
No. 16904 = × 2113, so it is divisible by 2.
What are the factors of 16904?
1, 2, 4, 8, 2113, 4226, 8452, 16904.
What is 16904 in binary?
100001000001000 (hexadecimal 4208, octal 41010).
What is the square root of 16904?
About 130.0154, exactly 2√4226.
Is 16904 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16904?
It is a composite number with 8 divisors.