The number 16340
16340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 43. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 43, 76, 86, 95, 172, 190, 215, 380 … 16340.
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How to work it out
- 1
16340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16340 is composite. Its prime factorisation is
- 3
The divisors add up to 36960; without 16340 itself that is 20620, so 16340 is abundant (20620 is more than 16340). Euler's totient φ(16340) = 6048 numbers up to 16340 share no factor with it.
- 4
The digits of 16340 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16340 = 2^{2} \times 5 \times 19 \times 43 \]16340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36960 |
| Euler totient φ(n) | 6048 |
| Square | 266995600 |
| Cube | 4362708104000 |
| Square root | 127.828009 (= 2√4085) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.634 × |
16340 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and forty |
| Binary (base 2) | 11111111010100 |
| Octal (base 8) | 37724 |
| Hexadecimal (base 16) | 3FD4 |
| Base 3 | 211102012 |
| As time | 16340 seconds = 4 h 32 min 20 s |
Is 16340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16340 ÷ 2 = 8170) | 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 (16340 ÷ 4 = 4085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16340 ÷ 5 = 3268) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16340 ÷ 10 = 1634) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 16340 a prime number?
No. 16340 = × 5 × 19 × 43, so it is divisible by 2.
What are the factors of 16340?
1, 2, 4, 5, 10, 19, 20, 38, 43, 76, 86, 95, 172, 190, 215, 380, 430, 817, 860, 1634, 3268, 4085, 8170, 16340.
What is 16340 in binary?
11111111010100 (hexadecimal 3FD4, octal 37724).
What is the square root of 16340?
About 127.8280, exactly 2√4085.
Is 16340 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16340?
It is a composite number with 24 divisors.