The number 10043
10043 is a composite number with 6 divisors. Its prime factorisation is Ć 83. Divisors (6): 1, 11, 83, 121, 913, 10043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10043 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10043 is composite. Its prime factorisation is
- 3
The divisors add up to 11172; without 10043 itself that is 1129, so 10043 is deficient (1129 is less than 10043). Euler's totient Ļ(10043) = 9020 numbers up to 10043 share no factor with it.
- 4
The digits of 10043 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10043 = 11^{2} \times 83 \]10043 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11172 |
| Euler totient Ļ(n) | 9020 |
| Square | 100861849 |
| Cube | 1012955549507 |
| Square root | 100.214769 (= 11ā83) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0043 Ć |
10043 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and forty-three |
| Binary (base 2) | 10011100111011 |
| Octal (base 8) | 23473 |
| Hexadecimal (base 16) | 273B |
| Base 3 | 111202222 |
| As time | 10043 seconds = 2 h 47 min 23 s |
Is 10043 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 2) | 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 5) | 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 8) | 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 | Yes (10043 Ć· 11 = 913) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10043 a prime number?
No. 10043 = Ć 83, so it is divisible by 11.
What are the factors of 10043?
1, 11, 83, 121, 913, 10043.
What is 10043 in binary?
10011100111011 (hexadecimal 273B, octal 23473).
What is the square root of 10043?
About 100.2148, exactly 11ā83.
Is 10043 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10043?
It is a composite number with 6 divisors.