The number 5084
5084 is a composite number with 12 divisors. Its prime factorisation is × 31 × 41. Divisors (12): 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5084 is composite. Its prime factorisation is
- 3
The divisors add up to 9408; without 5084 itself that is 4324, so 5084 is deficient (4324 is less than 5084). Euler's totient φ(5084) = 2400 numbers up to 5084 share no factor with it.
- 4
The digits of 5084 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5084 = 2^{2} \times 31 \times 41 \]5084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9408 |
| Euler totient φ(n) | 2400 |
| Square | 25847056 |
| Cube | 131406432704 |
| Square root | 71.302174 (= 2√1271) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 5.084 × |
5084 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty-four |
| Binary (base 2) | 1001111011100 |
| Octal (base 8) | 11734 |
| Hexadecimal (base 16) | 13DC |
| Base 3 | 20222022 |
| As time | 5084 seconds = 1 h 24 min 44 s |
Is 5084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5084 ÷ 2 = 2542) | 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 (5084 ÷ 4 = 1271) | 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 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5084 a prime number?
No. 5084 = × 31 × 41, so it is divisible by 2.
What are the factors of 5084?
1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084.
What is 5084 in binary?
1001111011100 (hexadecimal 13DC, octal 11734).
What is the square root of 5084?
About 71.3022, exactly 2√1271.
Is 5084 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5084?
It is a composite number with 12 divisors.