The number 16749
16749 is a composite number with 6 divisors. Its prime factorisation is × 1861. Divisors (6): 1, 3, 9, 1861, 5583, 16749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16749 is composite. Its prime factorisation is
- 3
The divisors add up to 24206; without 16749 itself that is 7457, so 16749 is deficient (7457 is less than 16749). Euler's totient φ(16749) = 11160 numbers up to 16749 share no factor with it.
- 4
The digits of 16749 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16749 = 3^{2} \times 1861 \]16749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24206 |
| Euler totient φ(n) | 11160 |
| Square | 280529001 |
| Cube | 4698580237749 |
| Square root | 129.417928 (= 3√1861) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6749 × |
16749 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty-nine |
| Binary (base 2) | 100000101101101 |
| Octal (base 8) | 40555 |
| Hexadecimal (base 16) | 416D |
| Base 3 | 211222100 |
| As time | 16749 seconds = 4 h 39 min 9 s |
Is 16749 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16749 ÷ 3 = 5583) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16749 ÷ 9 = 1861) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16749 a prime number?
No. 16749 = × 1861, so it is divisible by 3.
What are the factors of 16749?
1, 3, 9, 1861, 5583, 16749.
What is 16749 in binary?
100000101101101 (hexadecimal 416D, octal 40555).
What is the square root of 16749?
About 129.4179, exactly 3√1861.
Is 16749 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16749?
It is a composite number with 6 divisors.