The number 16359
16359 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 41. Divisors (16): 1, 3, 7, 19, 21, 41, 57, 123, 133, 287, 399, 779, 861, 2337, 5453, 16359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16359 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16359 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 16359 itself that is 10521, so 16359 is deficient (10521 is less than 16359). Euler's totient φ(16359) = 8640 numbers up to 16359 share no factor with it.
- 4
The digits of 16359 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16359 = 3 \times 7 \times 19 \times 41 \]
16359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 8640 |
| Square | 267616881 |
| Cube | 4377944556279 |
| Square root | 127.902306 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6359 × |
16359 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and fifty-nine |
| Binary (base 2) | 11111111100111 |
| Octal (base 8) | 37747 |
| Hexadecimal (base 16) | 3FE7 |
| Base 3 | 211102220 |
| As time | 16359 seconds = 4 h 32 min 39 s |
Is 16359 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 (16359 ÷ 3 = 5453) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (16359 ÷ 7 = 2337) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16359 a prime number?
No. 16359 = 3 × 7 × 19 × 41, so it is divisible by 3.
What are the factors of 16359?
1, 3, 7, 19, 21, 41, 57, 123, 133, 287, 399, 779, 861, 2337, 5453, 16359.
What is 16359 in binary?
11111111100111 (hexadecimal 3FE7, octal 37747).
What is the square root of 16359?
About 127.9023.
Is 16359 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16359?
It is a composite number with 16 divisors.