The number 10241
10241 is a composite number with 12 divisors. Its prime factorisation is × 11 × 19. Divisors (12): 1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463, 10241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10241 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10241 is composite. Its prime factorisation is
- 3
The divisors add up to 13680; without 10241 itself that is 3439, so 10241 is deficient (3439 is less than 10241). Euler's totient φ(10241) = 7560 numbers up to 10241 share no factor with it.
- 4
The digits of 10241 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10241 = 7^{2} \times 11 \times 19 \]10241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 7560 |
| Square | 104878081 |
| Cube | 1074056427521 |
| Square root | 101.197826 (= 7√209) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 179 |
| Scientific notation | 1.0241 × |
10241 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and forty-one |
| Binary (base 2) | 10100000000001 |
| Octal (base 8) | 24001 |
| Hexadecimal (base 16) | 2801 |
| Base 3 | 112001022 |
| As time | 10241 seconds = 2 h 50 min 41 s |
Is 10241 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10241 ÷ 7 = 1463) | 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 8) | 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 | Yes (10241 ÷ 11 = 931) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10241 a prime number?
No. 10241 = × 11 × 19, so it is divisible by 7.
What are the factors of 10241?
1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463, 10241.
What is 10241 in binary?
10100000000001 (hexadecimal 2801, octal 24001).
What is the square root of 10241?
About 101.1978, exactly 7√209.
Is 10241 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10241?
It is a composite number with 12 divisors.