The number 16004
16004 is a composite number with 6 divisors. Its prime factorisation is × 4001. Divisors (6): 1, 2, 4, 4001, 8002, 16004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16004 is composite. Its prime factorisation is
- 3
The divisors add up to 28014; without 16004 itself that is 12010, so 16004 is deficient (12010 is less than 16004). Euler's totient φ(16004) = 8000 numbers up to 16004 share no factor with it.
- 4
The digits of 16004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16004 = 2^{2} \times 4001 \]16004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 28014 |
| Euler totient φ(n) | 8000 |
| Square | 256128016 |
| Cube | 4099072768064 |
| Square root | 126.506917 (= 2√4001) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6004 × |
16004 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and four |
| Binary (base 2) | 11111010000100 |
| Octal (base 8) | 37204 |
| Hexadecimal (base 16) | 3E84 |
| Base 3 | 210221202 |
| As time | 16004 seconds = 4 h 26 min 44 s |
Is 16004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16004 ÷ 2 = 8002) | 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 (16004 ÷ 4 = 4001) | 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 2) | 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 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 10) | 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 16004 a prime number?
No. 16004 = × 4001, so it is divisible by 2.
What are the factors of 16004?
1, 2, 4, 4001, 8002, 16004.
What is 16004 in binary?
11111010000100 (hexadecimal 3E84, octal 37204).
What is the square root of 16004?
About 126.5069, exactly 2√4001.
Is 16004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 16004?
It is a composite number with 6 divisors.