The number 16995
16995 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 103. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 103, 165, 309, 515, 1133, 1545, 3399, 5665, 16995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16995 is composite. Its prime factorisation is
- 3
The divisors add up to 29952; without 16995 itself that is 12957, so 16995 is deficient (12957 is less than 16995). Euler's totient φ(16995) = 8160 numbers up to 16995 share no factor with it.
- 4
The digits of 16995 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16995 = 3 \times 5 \times 11 \times 103 \]
16995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29952 |
| Euler totient φ(n) | 8160 |
| Square | 288830025 |
| Cube | 4908666274875 |
| Square root | 130.364873 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6995 × |
16995 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and ninety-five |
| Binary (base 2) | 100001001100011 |
| Octal (base 8) | 41143 |
| Hexadecimal (base 16) | 4263 |
| Base 3 | 212022110 |
| As time | 16995 seconds = 4 h 43 min 15 s |
Is 16995 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 (16995 ÷ 3 = 5665) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16995 ÷ 5 = 3399) | 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 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 | No (remainder 3) | 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 (16995 ÷ 11 = 1545) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16995 a prime number?
No. 16995 = 3 × 5 × 11 × 103, so it is divisible by 3.
What are the factors of 16995?
1, 3, 5, 11, 15, 33, 55, 103, 165, 309, 515, 1133, 1545, 3399, 5665, 16995.
What is 16995 in binary?
100001001100011 (hexadecimal 4263, octal 41143).
What is the square root of 16995?
About 130.3649.
Is 16995 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 16995?
It is a composite number with 16 divisors.