The number 16508
16508 is a composite number with 6 divisors. Its prime factorisation is × 4127. Divisors (6): 1, 2, 4, 4127, 8254, 16508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16508 is composite. Its prime factorisation is
- 3
The divisors add up to 28896; without 16508 itself that is 12388, so 16508 is deficient (12388 is less than 16508). Euler's totient φ(16508) = 8252 numbers up to 16508 share no factor with it.
- 4
The digits of 16508 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 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16508 = 2^{2} \times 4127 \]16508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 28896 |
| Euler totient φ(n) | 8252 |
| Square | 272514064 |
| Cube | 4498662168512 |
| Square root | 128.483462 (= 2√4127) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.6508 × |
16508 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and eight |
| Binary (base 2) | 100000001111100 |
| Octal (base 8) | 40174 |
| Hexadecimal (base 16) | 407C |
| Base 3 | 211122102 |
| As time | 16508 seconds = 4 h 35 min 8 s |
Is 16508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16508 ÷ 2 = 8254) | 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 (16508 ÷ 4 = 4127) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 16508 a prime number?
No. 16508 = × 4127, so it is divisible by 2.
What are the factors of 16508?
1, 2, 4, 4127, 8254, 16508.
What is 16508 in binary?
100000001111100 (hexadecimal 407C, octal 40174).
What is the square root of 16508?
About 128.4835, exactly 2√4127.
Is 16508 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16508?
It is a composite number with 6 divisors.