The number 16648
16648 is a composite number with 8 divisors. Its prime factorisation is × 2081. Divisors (8): 1, 2, 4, 8, 2081, 4162, 8324, 16648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16648 is composite. Its prime factorisation is
- 3
The divisors add up to 31230; without 16648 itself that is 14582, so 16648 is deficient (14582 is less than 16648). Euler's totient φ(16648) = 8320 numbers up to 16648 share no factor with it.
- 4
The digits of 16648 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16648 = 2^{3} \times 2081 \]16648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31230 |
| Euler totient φ(n) | 8320 |
| Square | 277155904 |
| Cube | 4614091489792 |
| Square root | 129.027129 (= 2√4162) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6648 × |
16648 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and forty-eight |
| Binary (base 2) | 100000100001000 |
| Octal (base 8) | 40410 |
| Hexadecimal (base 16) | 4108 |
| Base 3 | 211211121 |
| As time | 16648 seconds = 4 h 37 min 28 s |
Is 16648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16648 ÷ 2 = 8324) | 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 (16648 ÷ 4 = 4162) | 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 4) | 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 | Yes (16648 ÷ 8 = 2081) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 16648 a prime number?
No. 16648 = × 2081, so it is divisible by 2.
What are the factors of 16648?
1, 2, 4, 8, 2081, 4162, 8324, 16648.
What is 16648 in binary?
100000100001000 (hexadecimal 4108, octal 40410).
What is the square root of 16648?
About 129.0271, exactly 2√4162.
Is 16648 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16648?
It is a composite number with 8 divisors.