The number 82473
82473 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 743. Divisors (8): 1, 3, 37, 111, 743, 2229, 27491, 82473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82473 is composite. Its prime factorisation is
- 3
The divisors add up to 113088; without 82473 itself that is 30615, so 82473 is deficient (30615 is less than 82473). Euler's totient φ(82473) = 53424 numbers up to 82473 share no factor with it.
- 4
The digits of 82473 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82473 = 3 \times 37 \times 743 \]
82473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 113088 |
| Euler totient φ(n) | 53424 |
| Square | 6801795729 |
| Cube | 560964499157817 |
| Square root | 287.181128 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.2473 × |
82473 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and seventy-three |
| Binary (base 2) | 10100001000101001 |
| Octal (base 8) | 241051 |
| Hexadecimal (base 16) | 14229 |
| Base 3 | 11012010120 |
| As time | 82473 seconds = 22 h 54 min 33 s |
Is 82473 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 (82473 ÷ 3 = 27491) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82473 a prime number?
No. 82473 = 3 × 37 × 743, so it is divisible by 3.
What are the factors of 82473?
1, 3, 37, 111, 743, 2229, 27491, 82473.
What is 82473 in binary?
10100001000101001 (hexadecimal 14229, octal 241051).
What is the square root of 82473?
About 287.1811.
Is 82473 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 82473?
It is a composite number with 8 divisors.