The number 16000
16000 is a composite number with 32 divisors. Its prime factorisation is × . Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125 … 16000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16000 is composite. Its prime factorisation is
- 3
The divisors add up to 39780; without 16000 itself that is 23780, so 16000 is abundant (23780 is more than 16000). Euler's totient φ(16000) = 6400 numbers up to 16000 share no factor with it.
- 4
The digits of 16000 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16000 = 2^{7} \times 5^{3} \]16000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 39780 |
| Euler totient φ(n) | 6400 |
| Square | 256000000 |
| Cube | 4096000000000 |
| Square root | 126.491106 (= 40√10) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6 × |
16000 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand |
| Binary (base 2) | 11111010000000 |
| Octal (base 8) | 37200 |
| Hexadecimal (base 16) | 3E80 |
| Base 3 | 210221121 |
| As time | 16000 seconds = 4 h 26 min 40 s |
Is 16000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16000 ÷ 2 = 8000) | 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 (16000 ÷ 4 = 4000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16000 ÷ 5 = 3200) | 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 5) | 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 (16000 ÷ 8 = 2000) | 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 | Yes (16000 ÷ 10 = 1600) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 16000 a prime number?
No. 16000 = × , so it is divisible by 2.
What are the factors of 16000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
What is 16000 in binary?
11111010000000 (hexadecimal 3E80, octal 37200).
What is the square root of 16000?
About 126.4911, exactly 40√10.
Is 16000 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 16000?
It is a composite number with 32 divisors.