The number 8241
8241 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 67. Divisors (8): 1, 3, 41, 67, 123, 201, 2747, 8241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8241 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8241 is composite. Its prime factorisation is
- 3
The divisors add up to 11424; without 8241 itself that is 3183, so 8241 is deficient (3183 is less than 8241). Euler's totient φ(8241) = 5280 numbers up to 8241 share no factor with it.
- 4
The digits of 8241 add up to 15, 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
\[ 8241 = 3 \times 41 \times 67 \]
8241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11424 |
| Euler totient φ(n) | 5280 |
| Square | 67914081 |
| Cube | 559679941521 |
| Square root | 90.779954 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.241 × |
8241 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and forty-one |
| Binary (base 2) | 10000000110001 |
| Octal (base 8) | 20061 |
| Hexadecimal (base 16) | 2031 |
| Base 3 | 102022020 |
| As time | 8241 seconds = 2 h 17 min 21 s |
Is 8241 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 (8241 ÷ 3 = 2747) | 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 2) | 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 2) | 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 8241 a prime number?
No. 8241 = 3 × 41 × 67, so it is divisible by 3.
What are the factors of 8241?
1, 3, 41, 67, 123, 201, 2747, 8241.
What is 8241 in binary?
10000000110001 (hexadecimal 2031, octal 20061).
What is the square root of 8241?
About 90.7800.
Is 8241 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8241?
It is a composite number with 8 divisors.