The number 82973
82973 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 397. Divisors (8): 1, 11, 19, 209, 397, 4367, 7543, 82973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82973 is composite. Its prime factorisation is
- 3
The divisors add up to 95520; without 82973 itself that is 12547, so 82973 is deficient (12547 is less than 82973). Euler's totient φ(82973) = 71280 numbers up to 82973 share no factor with it.
- 4
The digits of 82973 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82973 = 11 \times 19 \times 397 \]
82973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 95520 |
| Euler totient φ(n) | 71280 |
| Square | 6884518729 |
| Cube | 571229172501317 |
| Square root | 288.050343 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2973 × |
82973 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and seventy-three |
| Binary (base 2) | 10100010000011101 |
| Octal (base 8) | 242035 |
| Hexadecimal (base 16) | 1441D |
| Base 3 | 11012211002 |
| As time | 82973 seconds = 23 h 2 min 53 s |
Is 82973 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (82973 ÷ 11 = 7543) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82973 a prime number?
No. 82973 = 11 × 19 × 397, so it is divisible by 11.
What are the factors of 82973?
1, 11, 19, 209, 397, 4367, 7543, 82973.
What is 82973 in binary?
10100010000011101 (hexadecimal 1441D, octal 242035).
What is the square root of 82973?
About 288.0503.
Is 82973 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 82973?
It is a composite number with 8 divisors.