The number 84164
84164 is a composite number with 12 divisors. Its prime factorisation is × 53 × 397. Divisors (12): 1, 2, 4, 53, 106, 212, 397, 794, 1588, 21041, 42082, 84164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84164: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84164 is composite. Its prime factorisation is
- 3
The divisors add up to 150444; without 84164 itself that is 66280, so 84164 is deficient (66280 is less than 84164). Euler's totient φ(84164) = 41184 numbers up to 84164 share no factor with it.
- 4
The digits of 84164 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84164 = 2^{2} \times 53 \times 397 \]84164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 150444 |
| Euler totient φ(n) | 41184 |
| Square | 7083578896 |
| Cube | 596182334202944 |
| Square root | 290.110324 (= 2√21041) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.4164 × |
84164 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and sixty-four |
| Binary (base 2) | 10100100011000100 |
| Octal (base 8) | 244304 |
| Hexadecimal (base 16) | 148C4 |
| Base 3 | 11021110012 |
| As time | 84164 seconds = 23 h 22 min 44 s |
Is 84164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84164 ÷ 2 = 42082) | 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 | Yes (84164 ÷ 4 = 21041) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84164 a prime number?
No. 84164 = × 53 × 397, so it is divisible by 2.
What are the factors of 84164?
1, 2, 4, 53, 106, 212, 397, 794, 1588, 21041, 42082, 84164.
What is 84164 in binary?
10100100011000100 (hexadecimal 148C4, octal 244304).
What is the square root of 84164?
About 290.1103, exactly 2√21041.
Is 84164 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 84164?
84164 is a happy number: repeatedly adding the squares of its digits reaches 1.