The number 84441
84441 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 4021. Divisors (8): 1, 3, 7, 21, 4021, 12063, 28147, 84441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84441: a Harshad number: divisible by its digit sum 21.
- 2
84441 is composite. Its prime factorisation is
- 3
The divisors add up to 128704; without 84441 itself that is 44263, so 84441 is deficient (44263 is less than 84441). Euler's totient φ(84441) = 48240 numbers up to 84441 share no factor with it.
- 4
The digits of 84441 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84441 = 3 \times 7 \times 4021 \]
84441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 128704 |
| Euler totient φ(n) | 48240 |
| Square | 7130282481 |
| Cube | 602088182978121 |
| Square root | 290.587336 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4441 × |
84441 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred and forty-one |
| Binary (base 2) | 10100100111011001 |
| Octal (base 8) | 244731 |
| Hexadecimal (base 16) | 149D9 |
| Base 3 | 11021211110 |
| As time | 84441 seconds = 23 h 27 min 21 s |
Is 84441 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 (84441 ÷ 3 = 28147) | 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 | Yes (84441 ÷ 7 = 12063) | 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 3) | 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 5) | 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 84441 a prime number?
No. 84441 = 3 × 7 × 4021, so it is divisible by 3.
What are the factors of 84441?
1, 3, 7, 21, 4021, 12063, 28147, 84441.
What is 84441 in binary?
10100100111011001 (hexadecimal 149D9, octal 244731).
What is the square root of 84441?
About 290.5873.
Is 84441 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84441?
84441 is a Harshad number: divisible by its digit sum 21.