The number 16996
16996 is a composite number with 12 divisors. Its prime factorisation is × 7 × 607. Divisors (12): 1, 2, 4, 7, 14, 28, 607, 1214, 2428, 4249, 8498, 16996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16996 is composite. Its prime factorisation is
- 3
The divisors add up to 34048; without 16996 itself that is 17052, so 16996 is abundant (17052 is more than 16996). Euler's totient φ(16996) = 7272 numbers up to 16996 share no factor with it.
- 4
The digits of 16996 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16996 = 2^{2} \times 7 \times 607 \]16996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34048 |
| Euler totient φ(n) | 7272 |
| Square | 288864016 |
| Cube | 4909532815936 |
| Square root | 130.368708 (= 2√4249) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6996 × |
16996 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and ninety-six |
| Binary (base 2) | 100001001100100 |
| Octal (base 8) | 41144 |
| Hexadecimal (base 16) | 4264 |
| Base 3 | 212022111 |
| As time | 16996 seconds = 4 h 43 min 16 s |
Is 16996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16996 ÷ 2 = 8498) | 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 (16996 ÷ 4 = 4249) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (16996 ÷ 7 = 2428) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 16996 a prime number?
No. 16996 = × 7 × 607, so it is divisible by 2.
What are the factors of 16996?
1, 2, 4, 7, 14, 28, 607, 1214, 2428, 4249, 8498, 16996.
What is 16996 in binary?
100001001100100 (hexadecimal 4264, octal 41144).
What is the square root of 16996?
About 130.3687, exactly 2√4249.
Is 16996 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 16996?
It is a composite number with 12 divisors.