The number 16084
16084 is a composite number with 6 divisors. Its prime factorisation is × 4021. Divisors (6): 1, 2, 4, 4021, 8042, 16084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16084 is composite. Its prime factorisation is
- 3
The divisors add up to 28154; without 16084 itself that is 12070, so 16084 is deficient (12070 is less than 16084). Euler's totient φ(16084) = 8040 numbers up to 16084 share no factor with it.
- 4
The digits of 16084 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16084 = 2^{2} \times 4021 \]16084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 28154 |
| Euler totient φ(n) | 8040 |
| Square | 258695056 |
| Cube | 4160851280704 |
| Square root | 126.822711 (= 2√4021) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6084 × |
16084 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and eighty-four |
| Binary (base 2) | 11111011010100 |
| Octal (base 8) | 37324 |
| Hexadecimal (base 16) | 3ED4 |
| Base 3 | 211001201 |
| As time | 16084 seconds = 4 h 28 min 4 s |
Is 16084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16084 ÷ 2 = 8042) | 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 (16084 ÷ 4 = 4021) | 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 | 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 1) | 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 2) | 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 16084 a prime number?
No. 16084 = × 4021, so it is divisible by 2.
What are the factors of 16084?
1, 2, 4, 4021, 8042, 16084.
What is 16084 in binary?
11111011010100 (hexadecimal 3ED4, octal 37324).
What is the square root of 16084?
About 126.8227, exactly 2√4021.
Is 16084 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16084?
It is a composite number with 6 divisors.