The number 5083
5083 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 23. Divisors (8): 1, 13, 17, 23, 221, 299, 391, 5083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5083 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5083 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 5083 itself that is 965, so 5083 is deficient (965 is less than 5083). Euler's totient φ(5083) = 4224 numbers up to 5083 share no factor with it.
- 4
The digits of 5083 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5083 = 13 \times 17 \times 23 \]
5083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 4224 |
| Square | 25836889 |
| Cube | 131328906787 |
| Square root | 71.295161 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 5.083 × |
5083 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty-three |
| Binary (base 2) | 1001111011011 |
| Octal (base 8) | 11733 |
| Hexadecimal (base 16) | 13DB |
| Base 3 | 20222021 |
| As time | 5083 seconds = 1 h 24 min 43 s |
Is 5083 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5083 a prime number?
No. 5083 = 13 × 17 × 23, so it is divisible by 13.
What are the factors of 5083?
1, 13, 17, 23, 221, 299, 391, 5083.
What is 5083 in binary?
1001111011011 (hexadecimal 13DB, octal 11733).
What is the square root of 5083?
About 71.2952.
Is 5083 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5083?
It is a composite number with 8 divisors.