The number 16880
16880 is a composite number with 20 divisors. Its prime factorisation is × 5 × 211. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 211, 422, 844, 1055, 1688, 2110 … 16880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16880 is composite. Its prime factorisation is
- 3
The divisors add up to 39432; without 16880 itself that is 22552, so 16880 is abundant (22552 is more than 16880). Euler's totient φ(16880) = 6720 numbers up to 16880 share no factor with it.
- 4
The digits of 16880 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 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16880 = 2^{4} \times 5 \times 211 \]16880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 39432 |
| Euler totient φ(n) | 6720 |
| Square | 284934400 |
| Cube | 4809692672000 |
| Square root | 129.923054 (= 4√1055) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.688 × |
16880 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and eighty |
| Binary (base 2) | 100000111110000 |
| Octal (base 8) | 40760 |
| Hexadecimal (base 16) | 41F0 |
| Base 3 | 212011012 |
| As time | 16880 seconds = 4 h 41 min 20 s |
Is 16880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16880 ÷ 2 = 8440) | 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 (16880 ÷ 4 = 4220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16880 ÷ 5 = 3376) | 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 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 | Yes (16880 ÷ 8 = 2110) | 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 | Yes (16880 ÷ 10 = 1688) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 16880 a prime number?
No. 16880 = × 5 × 211, so it is divisible by 2.
What are the factors of 16880?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 211, 422, 844, 1055, 1688, 2110, 3376, 4220, 8440, 16880.
What is 16880 in binary?
100000111110000 (hexadecimal 41F0, octal 40760).
What is the square root of 16880?
About 129.9231, exactly 4√1055.
Is 16880 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16880?
It is a composite number with 20 divisors.