The number 16341
16341 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 419. Divisors (8): 1, 3, 13, 39, 419, 1257, 5447, 16341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16341 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16341 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 16341 itself that is 7179, so 16341 is deficient (7179 is less than 16341). Euler's totient φ(16341) = 10032 numbers up to 16341 share no factor with it.
- 4
The digits of 16341 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16341 = 3 \times 13 \times 419 \]
16341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 10032 |
| Square | 267028281 |
| Cube | 4363509139821 |
| Square root | 127.831921 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6341 × |
16341 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and forty-one |
| Binary (base 2) | 11111111010101 |
| Octal (base 8) | 37725 |
| Hexadecimal (base 16) | 3FD5 |
| Base 3 | 211102020 |
| As time | 16341 seconds = 4 h 32 min 21 s |
Is 16341 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 (16341 ÷ 3 = 5447) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16341 a prime number?
No. 16341 = 3 × 13 × 419, so it is divisible by 3.
What are the factors of 16341?
1, 3, 13, 39, 419, 1257, 5447, 16341.
What is 16341 in binary?
11111111010101 (hexadecimal 3FD5, octal 37725).
What is the square root of 16341?
About 127.8319.
Is 16341 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16341?
It is a composite number with 8 divisors.