The number 16616
16616 is a composite number with 16 divisors. Its prime factorisation is × 31 × 67. Divisors (16): 1, 2, 4, 8, 31, 62, 67, 124, 134, 248, 268, 536, 2077, 4154, 8308, 16616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16616 is composite. Its prime factorisation is
- 3
The divisors add up to 32640; without 16616 itself that is 16024, so 16616 is deficient (16024 is less than 16616). Euler's totient φ(16616) = 7920 numbers up to 16616 share no factor with it.
- 4
The digits of 16616 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16616 = 2^{3} \times 31 \times 67 \]16616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32640 |
| Euler totient φ(n) | 7920 |
| Square | 276091456 |
| Cube | 4587535632896 |
| Square root | 128.903064 (= 2√4154) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6616 × |
16616 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and sixteen |
| Binary (base 2) | 100000011101000 |
| Octal (base 8) | 40350 |
| Hexadecimal (base 16) | 40E8 |
| Base 3 | 211210102 |
| As time | 16616 seconds = 4 h 36 min 56 s |
Is 16616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16616 ÷ 2 = 8308) | 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 (16616 ÷ 4 = 4154) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 (16616 ÷ 8 = 2077) | 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 6) | 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 16616 a prime number?
No. 16616 = × 31 × 67, so it is divisible by 2.
What are the factors of 16616?
1, 2, 4, 8, 31, 62, 67, 124, 134, 248, 268, 536, 2077, 4154, 8308, 16616.
What is 16616 in binary?
100000011101000 (hexadecimal 40E8, octal 40350).
What is the square root of 16616?
About 128.9031, exactly 2√4154.
Is 16616 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16616?
It is a composite number with 16 divisors.