The number 16746
16746 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2791. Divisors (8): 1, 2, 3, 6, 2791, 5582, 8373, 16746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16746 is composite. Its prime factorisation is
- 3
The divisors add up to 33504; without 16746 itself that is 16758, so 16746 is abundant (16758 is more than 16746). Euler's totient φ(16746) = 5580 numbers up to 16746 share no factor with it.
- 4
The digits of 16746 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16746 = 2 \times 3 \times 2791 \]
16746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33504 |
| Euler totient φ(n) | 5580 |
| Square | 280428516 |
| Cube | 4696055928936 |
| Square root | 129.406337 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6746 × |
16746 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty-six |
| Binary (base 2) | 100000101101010 |
| Octal (base 8) | 40552 |
| Hexadecimal (base 16) | 416A |
| Base 3 | 211222020 |
| As time | 16746 seconds = 4 h 39 min 6 s |
Is 16746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16746 ÷ 2 = 8373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16746 ÷ 3 = 5582) | 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 (16746 ÷ 6 = 2791) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | 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 16746 a prime number?
No. 16746 = 2 × 3 × 2791, so it is divisible by 2.
What are the factors of 16746?
1, 2, 3, 6, 2791, 5582, 8373, 16746.
What is 16746 in binary?
100000101101010 (hexadecimal 416A, octal 40552).
What is the square root of 16746?
About 129.4063.
Is 16746 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16746?
It is a composite number with 8 divisors.