The number 84321
84321 is a composite number with 12 divisors. Its prime factorisation is × 347. Divisors (12): 1, 3, 9, 27, 81, 243, 347, 1041, 3123, 9369, 28107, 84321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84321: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84321 is composite. Its prime factorisation is
- 3
The divisors add up to 126672; without 84321 itself that is 42351, so 84321 is deficient (42351 is less than 84321). Euler's totient φ(84321) = 56052 numbers up to 84321 share no factor with it.
- 4
The digits of 84321 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84321 = 3^{5} \times 347 \]84321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126672 |
| Euler totient φ(n) | 56052 |
| Square | 7110031041 |
| Cube | 599524927408161 |
| Square root | 290.380784 (= 9√1041) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.4321 × |
84321 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand three hundred and twenty-one |
| Binary (base 2) | 10100100101100001 |
| Octal (base 8) | 244541 |
| Hexadecimal (base 16) | 14961 |
| Base 3 | 11021200000 |
| As time | 84321 seconds = 23 h 25 min 21 s |
Is 84321 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 (84321 ÷ 3 = 28107) | 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 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 | Yes (84321 ÷ 9 = 9369) | 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 6) | 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 84321 a prime number?
No. 84321 = × 347, so it is divisible by 3.
What are the factors of 84321?
1, 3, 9, 27, 81, 243, 347, 1041, 3123, 9369, 28107, 84321.
What is 84321 in binary?
10100100101100001 (hexadecimal 14961, octal 244541).
What is the square root of 84321?
About 290.3808, exactly 9√1041.
Is 84321 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 84321?
84321 is a happy number: repeatedly adding the squares of its digits reaches 1.