The number 84104
84104 is a composite number with 8 divisors. Its prime factorisation is × 10513. Divisors (8): 1, 2, 4, 8, 10513, 21026, 42052, 84104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84104 is composite. Its prime factorisation is
- 3
The divisors add up to 157710; without 84104 itself that is 73606, so 84104 is deficient (73606 is less than 84104). Euler's totient φ(84104) = 42048 numbers up to 84104 share no factor with it.
- 4
The digits of 84104 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84104 = 2^{3} \times 10513 \]84104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 157710 |
| Euler totient φ(n) | 42048 |
| Square | 7073482816 |
| Cube | 594908198756864 |
| Square root | 290.006896 (= 2√21026) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.4104 × |
84104 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and four |
| Binary (base 2) | 10100100010001000 |
| Octal (base 8) | 244210 |
| Hexadecimal (base 16) | 14888 |
| Base 3 | 11021100222 |
| As time | 84104 seconds = 23 h 21 min 44 s |
Is 84104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84104 ÷ 2 = 42052) | 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 (84104 ÷ 4 = 21026) | 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 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 | Yes (84104 ÷ 8 = 10513) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 84104 a prime number?
No. 84104 = × 10513, so it is divisible by 2.
What are the factors of 84104?
1, 2, 4, 8, 10513, 21026, 42052, 84104.
What is 84104 in binary?
10100100010001000 (hexadecimal 14888, octal 244210).
What is the square root of 84104?
About 290.0069, exactly 2√21026.
Is 84104 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 84104?
84104 is a happy number: repeatedly adding the squares of its digits reaches 1.