The number 16005
16005 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 97. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 97, 165, 291, 485, 1067, 1455, 3201, 5335, 16005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16005 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 16005 itself that is 12219, so 16005 is deficient (12219 is less than 16005). Euler's totient φ(16005) = 7680 numbers up to 16005 share no factor with it.
- 4
The digits of 16005 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16005 = 3 \times 5 \times 11 \times 97 \]
16005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 7680 |
| Square | 256160025 |
| Cube | 4099841200125 |
| Square root | 126.510869 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6005 × |
16005 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and five |
| Binary (base 2) | 11111010000101 |
| Octal (base 8) | 37205 |
| Hexadecimal (base 16) | 3E85 |
| Base 3 | 210221210 |
| As time | 16005 seconds = 4 h 26 min 45 s |
Is 16005 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16005 ÷ 3 = 5335) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16005 ÷ 5 = 3201) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16005 ÷ 11 = 1455) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16005 a prime number?
No. 16005 = 3 × 5 × 11 × 97, so it is divisible by 3.
What are the factors of 16005?
1, 3, 5, 11, 15, 33, 55, 97, 165, 291, 485, 1067, 1455, 3201, 5335, 16005.
What is 16005 in binary?
11111010000101 (hexadecimal 3E85, octal 37205).
What is the square root of 16005?
About 126.5109.
Is 16005 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 16005?
It is a composite number with 16 divisors.