The number 8441
8441 is a composite number with 4 divisors. Its prime factorisation is 23 × 367. Divisors (4): 1, 23, 367, 8441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8441: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 367, the product of two primes.
- 2
8441 is composite. Its prime factorisation is
- 3
The divisors add up to 8832; without 8441 itself that is 391, so 8441 is deficient (391 is less than 8441). Euler's totient φ(8441) = 8052 numbers up to 8441 share no factor with it.
- 4
The digits of 8441 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8441 = 23 \times 367 \]
8441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8832 |
| Euler totient φ(n) | 8052 |
| Square | 71250481 |
| Cube | 601425310121 |
| Square root | 91.874915 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 8.441 × |
8441 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and forty-one |
| Binary (base 2) | 10000011111001 |
| Octal (base 8) | 20371 |
| Hexadecimal (base 16) | 20F9 |
| Base 3 | 102120122 |
| As time | 8441 seconds = 2 h 20 min 41 s |
Is 8441 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 | No (remainder 6) | 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 | No (remainder 4) | 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 8441 a prime number?
No. 8441 = 23 × 367, so it is divisible by 23.
What are the factors of 8441?
1, 23, 367, 8441.
What is 8441 in binary?
10000011111001 (hexadecimal 20F9, octal 20371).
What is the square root of 8441?
About 91.8749.
Is 8441 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8441?
8441 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 367, the product of two primes.