The number 16446
16446 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2741. Divisors (8): 1, 2, 3, 6, 2741, 5482, 8223, 16446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16446 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16446 is composite. Its prime factorisation is
- 3
The divisors add up to 32904; without 16446 itself that is 16458, so 16446 is abundant (16458 is more than 16446). Euler's totient φ(16446) = 5480 numbers up to 16446 share no factor with it.
- 4
The digits of 16446 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16446 = 2 \times 3 \times 2741 \]
16446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32904 |
| Euler totient φ(n) | 5480 |
| Square | 270470916 |
| Cube | 4448164684536 |
| Square root | 128.241959 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6446 × |
16446 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and forty-six |
| Binary (base 2) | 100000000111110 |
| Octal (base 8) | 40076 |
| Hexadecimal (base 16) | 403E |
| Base 3 | 211120010 |
| As time | 16446 seconds = 4 h 34 min 6 s |
Is 16446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16446 ÷ 2 = 8223) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16446 ÷ 3 = 5482) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (16446 ÷ 6 = 2741) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16446 a prime number?
No. 16446 = 2 × 3 × 2741, so it is divisible by 2.
What are the factors of 16446?
1, 2, 3, 6, 2741, 5482, 8223, 16446.
What is 16446 in binary?
100000000111110 (hexadecimal 403E, octal 40076).
What is the square root of 16446?
About 128.2420.
Is 16446 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16446?
It is a composite number with 8 divisors.