The number 82998
82998 is a composite number with 32 divisors. Its prime factorisation is 2 × × 29 × 53. Divisors (32): 1, 2, 3, 6, 9, 18, 27, 29, 53, 54, 58, 87, 106, 159, 174, 261 … 82998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82998 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 82998 itself that is 111402, so 82998 is abundant (111402 is more than 82998). Euler's totient φ(82998) = 26208 numbers up to 82998 share no factor with it.
- 4
The digits of 82998 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82998 = 2 \times 3^{3} \times 29 \times 53 \]82998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 26208 |
| Square | 6888668004 |
| Cube | 571745666995992 |
| Square root | 288.093735 (= 3√9222) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2998 × |
82998 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and ninety-eight |
| Binary (base 2) | 10100010000110110 |
| Octal (base 8) | 242066 |
| Hexadecimal (base 16) | 14436 |
| Base 3 | 11012212000 |
| As time | 82998 seconds = 23 h 3 min 18 s |
Is 82998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82998 ÷ 2 = 41499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82998 ÷ 3 = 27666) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (82998 ÷ 6 = 13833) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82998 ÷ 9 = 9222) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82998 a prime number?
No. 82998 = 2 × × 29 × 53, so it is divisible by 2.
What are the factors of 82998?
1, 2, 3, 6, 9, 18, 27, 29, 53, 54, 58, 87, 106, 159, 174, 261, 318, 477, 522, 783, 954, 1431, 1537, 1566, 2862, 3074, 4611, 9222, 13833, 27666, 41499, 82998.
What is 82998 in binary?
10100010000110110 (hexadecimal 14436, octal 242066).
What is the square root of 82998?
About 288.0937, exactly 3√9222.
Is 82998 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 82998?
It is a composite number with 32 divisors.