The number 16744
16744 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 23. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 23, 26, 28, 46, 52, 56, 91, 92, 104 … 16744.
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How to work it out
- 1
16744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16744 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 16744 itself that is 23576, so 16744 is abundant (23576 is more than 16744). Euler's totient φ(16744) = 6336 numbers up to 16744 share no factor with it.
- 4
The digits of 16744 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
\[ 16744 = 2^{3} \times 7 \times 13 \times 23 \]16744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 6336 |
| Square | 280361536 |
| Cube | 4694373558784 |
| Square root | 129.398609 (= 2√4186) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6744 × |
16744 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty-four |
| Binary (base 2) | 100000101101000 |
| Octal (base 8) | 40550 |
| Hexadecimal (base 16) | 4168 |
| Base 3 | 211222011 |
| As time | 16744 seconds = 4 h 39 min 4 s |
Is 16744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16744 ÷ 2 = 8372) | 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 (16744 ÷ 4 = 4186) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (16744 ÷ 7 = 2392) | 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 (16744 ÷ 8 = 2093) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 16744 a prime number?
No. 16744 = × 7 × 13 × 23, so it is divisible by 2.
What are the factors of 16744?
1, 2, 4, 7, 8, 13, 14, 23, 26, 28, 46, 52, 56, 91, 92, 104, 161, 182, 184, 299, 322, 364, 598, 644, 728, 1196, 1288, 2093, 2392, 4186, 8372, 16744.
What is 16744 in binary?
100000101101000 (hexadecimal 4168, octal 40550).
What is the square root of 16744?
About 129.3986, exactly 2√4186.
Is 16744 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16744?
It is a composite number with 32 divisors.