The number 84123
84123 is a composite number with 12 divisors. Its prime factorisation is × 13 × 719. Divisors (12): 1, 3, 9, 13, 39, 117, 719, 2157, 6471, 9347, 28041, 84123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84123: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84123 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 84123 itself that is 46917, so 84123 is deficient (46917 is less than 84123). Euler's totient φ(84123) = 51696 numbers up to 84123 share no factor with it.
- 4
The digits of 84123 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84123 = 3^{2} \times 13 \times 719 \]84123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 51696 |
| Square | 7076679129 |
| Cube | 595311478368867 |
| Square root | 290.039652 (= 3√9347) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4123 × |
84123 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and twenty-three |
| Binary (base 2) | 10100100010011011 |
| Octal (base 8) | 244233 |
| Hexadecimal (base 16) | 1489B |
| Base 3 | 11021101200 |
| As time | 84123 seconds = 23 h 22 min 3 s |
Is 84123 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 (84123 ÷ 3 = 28041) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84123 ÷ 9 = 9347) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84123 a prime number?
No. 84123 = × 13 × 719, so it is divisible by 3.
What are the factors of 84123?
1, 3, 9, 13, 39, 117, 719, 2157, 6471, 9347, 28041, 84123.
What is 84123 in binary?
10100100010011011 (hexadecimal 1489B, octal 244233).
What is the square root of 84123?
About 290.0397, exactly 3√9347.
Is 84123 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 84123?
84123 is a happy number: repeatedly adding the squares of its digits reaches 1.