The number 16324
16324 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 53. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 53, 77, 106, 154, 212, 308, 371 … 16324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16324 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 16324 itself that is 19964, so 16324 is abundant (19964 is more than 16324). Euler's totient φ(16324) = 6240 numbers up to 16324 share no factor with it.
- 4
The digits of 16324 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16324 = 2^{2} \times 7 \times 11 \times 53 \]16324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 6240 |
| Square | 266472976 |
| Cube | 4349904860224 |
| Square root | 127.765410 (= 2√4081) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6324 × |
16324 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and twenty-four |
| Binary (base 2) | 11111111000100 |
| Octal (base 8) | 37704 |
| Hexadecimal (base 16) | 3FC4 |
| Base 3 | 211101121 |
| As time | 16324 seconds = 4 h 32 min 4 s |
Is 16324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16324 ÷ 2 = 8162) | 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 (16324 ÷ 4 = 4081) | 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 (16324 ÷ 7 = 2332) | 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 7) | 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 (16324 ÷ 11 = 1484) | 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 16324 a prime number?
No. 16324 = × 7 × 11 × 53, so it is divisible by 2.
What are the factors of 16324?
1, 2, 4, 7, 11, 14, 22, 28, 44, 53, 77, 106, 154, 212, 308, 371, 583, 742, 1166, 1484, 2332, 4081, 8162, 16324.
What is 16324 in binary?
11111111000100 (hexadecimal 3FC4, octal 37704).
What is the square root of 16324?
About 127.7654, exactly 2√4081.
Is 16324 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16324?
It is a composite number with 24 divisors.