The number 13084
13084 is a composite number with 6 divisors. Its prime factorisation is × 3271. Divisors (6): 1, 2, 4, 3271, 6542, 13084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13084 is composite. Its prime factorisation is
- 3
The divisors add up to 22904; without 13084 itself that is 9820, so 13084 is deficient (9820 is less than 13084). Euler's totient φ(13084) = 6540 numbers up to 13084 share no factor with it.
- 4
The digits of 13084 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13084 = 2^{2} \times 3271 \]13084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 22904 |
| Euler totient φ(n) | 6540 |
| Square | 171191056 |
| Cube | 2239863776704 |
| Square root | 114.385314 (= 2√3271) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3084 × |
13084 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty-four |
| Binary (base 2) | 11001100011100 |
| Octal (base 8) | 31434 |
| Hexadecimal (base 16) | 331C |
| Base 3 | 122221121 |
| As time | 13084 seconds = 3 h 38 min 4 s |
Is 13084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13084 ÷ 2 = 6542) | 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 (13084 ÷ 4 = 3271) | 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 1) | 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 7) | 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 5) | 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 13084 a prime number?
No. 13084 = × 3271, so it is divisible by 2.
What are the factors of 13084?
1, 2, 4, 3271, 6542, 13084.
What is 13084 in binary?
11001100011100 (hexadecimal 331C, octal 31434).
What is the square root of 13084?
About 114.3853, exactly 2√3271.
Is 13084 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13084?
It is a composite number with 6 divisors.