The number 82123
82123 is a composite number with 4 divisors. Its prime factorisation is 41 × 2003. Divisors (4): 1, 41, 2003, 82123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82123: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 2003, the product of two primes.
- 2
82123 is composite. Its prime factorisation is
- 3
The divisors add up to 84168; without 82123 itself that is 2045, so 82123 is deficient (2045 is less than 82123). Euler's totient φ(82123) = 80080 numbers up to 82123 share no factor with it.
- 4
The digits of 82123 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82123 = 41 \times 2003 \]
82123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 84168 |
| Euler totient φ(n) | 80080 |
| Square | 6744187129 |
| Cube | 553852879594867 |
| Square root | 286.571108 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2123 × |
82123 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and twenty-three |
| Binary (base 2) | 10100000011001011 |
| Octal (base 8) | 240313 |
| Hexadecimal (base 16) | 140CB |
| Base 3 | 11011122121 |
| As time | 82123 seconds = 22 h 48 min 43 s |
Is 82123 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 | No (remainder 1) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82123 a prime number?
No. 82123 = 41 × 2003, so it is divisible by 41.
What are the factors of 82123?
1, 41, 2003, 82123.
What is 82123 in binary?
10100000011001011 (hexadecimal 140CB, octal 240313).
What is the square root of 82123?
About 286.5711.
Is 82123 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 82123?
82123 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 2003, the product of two primes.