The number 16764
16764 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 127. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 127, 132, 254, 381, 508 … 16764.
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How to work it out
- 1
16764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16764 is composite. Its prime factorisation is
- 3
The divisors add up to 43008; without 16764 itself that is 26244, so 16764 is abundant (26244 is more than 16764). Euler's totient φ(16764) = 5040 numbers up to 16764 share no factor with it.
- 4
The digits of 16764 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16764 = 2^{2} \times 3 \times 11 \times 127 \]16764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 43008 |
| Euler totient φ(n) | 5040 |
| Square | 281031696 |
| Cube | 4711215351744 |
| Square root | 129.475866 (= 2√4191) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6764 × |
16764 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and sixty-four |
| Binary (base 2) | 100000101111100 |
| Octal (base 8) | 40574 |
| Hexadecimal (base 16) | 417C |
| Base 3 | 211222220 |
| As time | 16764 seconds = 4 h 39 min 24 s |
Is 16764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16764 ÷ 2 = 8382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16764 ÷ 3 = 5588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16764 ÷ 4 = 4191) | 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 | Yes (16764 ÷ 6 = 2794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16764 ÷ 11 = 1524) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16764 ÷ 12 = 1397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16764 a prime number?
No. 16764 = × 3 × 11 × 127, so it is divisible by 2.
What are the factors of 16764?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 127, 132, 254, 381, 508, 762, 1397, 1524, 2794, 4191, 5588, 8382, 16764.
What is 16764 in binary?
100000101111100 (hexadecimal 417C, octal 40574).
What is the square root of 16764?
About 129.4759, exactly 2√4191.
Is 16764 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16764?
It is a composite number with 24 divisors.