The number 10041
10041 is a binary palindrome (10011100111001). Its prime factorisation is 3 × 3347. Divisors (4): 1, 3, 3347, 10041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10041: a binary palindrome (10011100111001); a semiprime: 3 × 3347, the product of two primes.
- 2
10041 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 10041 itself that is 3351, so 10041 is deficient (3351 is less than 10041). Euler's totient φ(10041) = 6692 numbers up to 10041 share no factor with it.
- 4
The digits of 10041 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10041 = 3 \times 3347 \]
10041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 6692 |
| Square | 100821681 |
| Cube | 1012350498921 |
| Square root | 100.204790 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.0041 × |
10041 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and forty-one |
| Binary (base 2) | 10011100111001 |
| Octal (base 8) | 23471 |
| Hexadecimal (base 16) | 2739 |
| Base 3 | 111202220 |
| As time | 10041 seconds = 2 h 47 min 21 s |
Is 10041 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 (10041 ÷ 3 = 3347) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10041 a prime number?
No. 10041 = 3 × 3347, so it is divisible by 3.
What are the factors of 10041?
1, 3, 3347, 10041.
What is 10041 in binary?
10011100111001 (hexadecimal 2739, octal 23471).
What is the square root of 10041?
About 100.2048.
Is 10041 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 10041?
10041 is a binary palindrome (10011100111001); a semiprime: 3 × 3347, the product of two primes.