The number 84213
84213 is a composite number with 8 divisors. Its prime factorisation is × 3119. Divisors (8): 1, 3, 9, 27, 3119, 9357, 28071, 84213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84213: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84213 is composite. Its prime factorisation is
- 3
The divisors add up to 124800; without 84213 itself that is 40587, so 84213 is deficient (40587 is less than 84213). Euler's totient φ(84213) = 56124 numbers up to 84213 share no factor with it.
- 4
The digits of 84213 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 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84213 = 3^{3} \times 3119 \]84213 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 124800 |
| Euler totient φ(n) | 56124 |
| Square | 7091829369 |
| Cube | 597224226651597 |
| Square root | 290.194762 (= 3√9357) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.4213 × |
84213 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand two hundred and thirteen |
| Binary (base 2) | 10100100011110101 |
| Octal (base 8) | 244365 |
| Hexadecimal (base 16) | 148F5 |
| Base 3 | 11021112000 |
| As time | 84213 seconds = 23 h 23 min 33 s |
Is 84213 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 (84213 ÷ 3 = 28071) | 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 3) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84213 ÷ 9 = 9357) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 84213 a prime number?
No. 84213 = × 3119, so it is divisible by 3.
What are the factors of 84213?
1, 3, 9, 27, 3119, 9357, 28071, 84213.
What is 84213 in binary?
10100100011110101 (hexadecimal 148F5, octal 244365).
What is the square root of 84213?
About 290.1948, exactly 3√9357.
Is 84213 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 84213?
84213 is a happy number: repeatedly adding the squares of its digits reaches 1.