The number 16736
16736 is a composite number with 12 divisors. Its prime factorisation is × 523. Divisors (12): 1, 2, 4, 8, 16, 32, 523, 1046, 2092, 4184, 8368, 16736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16736 is composite. Its prime factorisation is
- 3
The divisors add up to 33012; without 16736 itself that is 16276, so 16736 is deficient (16276 is less than 16736). Euler's totient φ(16736) = 8352 numbers up to 16736 share no factor with it.
- 4
The digits of 16736 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16736 = 2^{5} \times 523 \]16736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33012 |
| Euler totient φ(n) | 8352 |
| Square | 280093696 |
| Cube | 4687648096256 |
| Square root | 129.367693 (= 4√1046) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6736 × |
16736 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and thirty-six |
| Binary (base 2) | 100000101100000 |
| Octal (base 8) | 40540 |
| Hexadecimal (base 16) | 4160 |
| Base 3 | 211221212 |
| As time | 16736 seconds = 4 h 38 min 56 s |
Is 16736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16736 ÷ 2 = 8368) | 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 (16736 ÷ 4 = 4184) | 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 2) | 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 | Yes (16736 ÷ 8 = 2092) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | 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 16736 a prime number?
No. 16736 = × 523, so it is divisible by 2.
What are the factors of 16736?
1, 2, 4, 8, 16, 32, 523, 1046, 2092, 4184, 8368, 16736.
What is 16736 in binary?
100000101100000 (hexadecimal 4160, octal 40540).
What is the square root of 16736?
About 129.3677, exactly 4√1046.
Is 16736 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16736?
It is a composite number with 12 divisors.