The number 16364
16364 is a composite number with 6 divisors. Its prime factorisation is × 4091. Divisors (6): 1, 2, 4, 4091, 8182, 16364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16364 is composite. Its prime factorisation is
- 3
The divisors add up to 28644; without 16364 itself that is 12280, so 16364 is deficient (12280 is less than 16364). Euler's totient φ(16364) = 8180 numbers up to 16364 share no factor with it.
- 4
The digits of 16364 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16364 = 2^{2} \times 4091 \]16364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 28644 |
| Euler totient φ(n) | 8180 |
| Square | 267780496 |
| Cube | 4381960036544 |
| Square root | 127.921851 (= 2√4091) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6364 × |
16364 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and sixty-four |
| Binary (base 2) | 11111111101100 |
| Octal (base 8) | 37754 |
| Hexadecimal (base 16) | 3FEC |
| Base 3 | 211110002 |
| As time | 16364 seconds = 4 h 32 min 44 s |
Is 16364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16364 ÷ 2 = 8182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16364 ÷ 4 = 4091) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16364 a prime number?
No. 16364 = × 4091, so it is divisible by 2.
What are the factors of 16364?
1, 2, 4, 4091, 8182, 16364.
What is 16364 in binary?
11111111101100 (hexadecimal 3FEC, octal 37754).
What is the square root of 16364?
About 127.9219, exactly 2√4091.
Is 16364 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16364?
It is a composite number with 6 divisors.