The number 16960
16960 is a composite number with 28 divisors. Its prime factorisation is × 5 × 53. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 160, 212 … 16960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16960 is composite. Its prime factorisation is
- 3
The divisors add up to 41148; without 16960 itself that is 24188, so 16960 is abundant (24188 is more than 16960). Euler's totient φ(16960) = 6656 numbers up to 16960 share no factor with it.
- 4
The digits of 16960 add up to 22, 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
\[ 16960 = 2^{6} \times 5 \times 53 \]16960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 41148 |
| Euler totient φ(n) | 6656 |
| Square | 287641600 |
| Cube | 4878401536000 |
| Square root | 130.230565 (= 8√265) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.696 × |
16960 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and sixty |
| Binary (base 2) | 100001001000000 |
| Octal (base 8) | 41100 |
| Hexadecimal (base 16) | 4240 |
| Base 3 | 212021011 |
| As time | 16960 seconds = 4 h 42 min 40 s |
Is 16960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16960 ÷ 2 = 8480) | 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 (16960 ÷ 4 = 4240) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16960 ÷ 5 = 3392) | 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 | 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 (16960 ÷ 8 = 2120) | 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 | Yes (16960 ÷ 10 = 1696) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 16960 a prime number?
No. 16960 = × 5 × 53, so it is divisible by 2.
What are the factors of 16960?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 160, 212, 265, 320, 424, 530, 848, 1060, 1696, 2120, 3392, 4240, 8480, 16960.
What is 16960 in binary?
100001001000000 (hexadecimal 4240, octal 41100).
What is the square root of 16960?
About 130.2306, exactly 8√265.
Is 16960 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16960?
It is a composite number with 28 divisors.