The number 16832
16832 is a composite number with 14 divisors. Its prime factorisation is × 263. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 263, 526, 1052, 2104, 4208, 8416, 16832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16832 is composite. Its prime factorisation is
- 3
The divisors add up to 33528; without 16832 itself that is 16696, so 16832 is deficient (16696 is less than 16832). Euler's totient φ(16832) = 8384 numbers up to 16832 share no factor with it.
- 4
The digits of 16832 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16832 = 2^{6} \times 263 \]16832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 33528 |
| Euler totient φ(n) | 8384 |
| Square | 283316224 |
| Cube | 4768778682368 |
| Square root | 129.738198 (= 8√263) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6832 × |
16832 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and thirty-two |
| Binary (base 2) | 100000111000000 |
| Octal (base 8) | 40700 |
| Hexadecimal (base 16) | 41C0 |
| Base 3 | 212002102 |
| As time | 16832 seconds = 4 h 40 min 32 s |
Is 16832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16832 ÷ 2 = 8416) | 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 (16832 ÷ 4 = 4208) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 (16832 ÷ 8 = 2104) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 16832 a prime number?
No. 16832 = × 263, so it is divisible by 2.
What are the factors of 16832?
1, 2, 4, 8, 16, 32, 64, 263, 526, 1052, 2104, 4208, 8416, 16832.
What is 16832 in binary?
100000111000000 (hexadecimal 41C0, octal 40700).
What is the square root of 16832?
About 129.7382, exactly 8√263.
Is 16832 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16832?
It is a composite number with 14 divisors.