The number 10083
10083 is a composite number with 4 divisors. Its prime factorisation is 3 × 3361. Divisors (4): 1, 3, 3361, 10083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10083: a semiprime: 3 × 3361, the product of two primes.
- 2
10083 is composite. Its prime factorisation is
- 3
The divisors add up to 13448; without 10083 itself that is 3365, so 10083 is deficient (3365 is less than 10083). Euler's totient φ(10083) = 6720 numbers up to 10083 share no factor with it.
- 4
The digits of 10083 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10083 = 3 \times 3361 \]
10083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13448 |
| Euler totient φ(n) | 6720 |
| Square | 101666889 |
| Cube | 1025107241787 |
| Square root | 100.414142 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0083 × |
10083 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and eighty-three |
| Binary (base 2) | 10011101100011 |
| Octal (base 8) | 23543 |
| Hexadecimal (base 16) | 2763 |
| Base 3 | 111211110 |
| As time | 10083 seconds = 2 h 48 min 3 s |
Is 10083 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 | Yes (10083 ÷ 3 = 3361) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10083 a prime number?
No. 10083 = 3 × 3361, so it is divisible by 3.
What are the factors of 10083?
1, 3, 3361, 10083.
What is 10083 in binary?
10011101100011 (hexadecimal 2763, octal 23543).
What is the square root of 10083?
About 100.4141.
Is 10083 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10083?
10083 is a semiprime: 3 × 3361, the product of two primes.