The number 8083
8083 is a composite number with 4 divisors. Its prime factorisation is 59 × 137. Divisors (4): 1, 59, 137, 8083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8083: a semiprime: 59 × 137, the product of two primes.
- 2
8083 is composite. Its prime factorisation is
- 3
The divisors add up to 8280; without 8083 itself that is 197, so 8083 is deficient (197 is less than 8083). Euler's totient φ(8083) = 7888 numbers up to 8083 share no factor with it.
- 4
The digits of 8083 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8083 = 59 \times 137 \]
8083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8280 |
| Euler totient φ(n) | 7888 |
| Square | 65334889 |
| Cube | 528101907787 |
| Square root | 89.905506 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 8.083 × |
8083 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighty-three |
| Binary (base 2) | 1111110010011 |
| Octal (base 8) | 17623 |
| Hexadecimal (base 16) | 1F93 |
| Base 3 | 102002101 |
| As time | 8083 seconds = 2 h 14 min 43 s |
Is 8083 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 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 8083 a prime number?
No. 8083 = 59 × 137, so it is divisible by 59.
What are the factors of 8083?
1, 59, 137, 8083.
What is 8083 in binary?
1111110010011 (hexadecimal 1F93, octal 17623).
What is the square root of 8083?
About 89.9055.
Is 8083 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8083?
8083 is a semiprime: 59 × 137, the product of two primes.