The number 82992
82992 is a composite number with 80 divisors. Its prime factorisation is × 3 × 7 × 13 × 19. Divisors (80): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 19, 21, 24, 26, 28 … 82992.
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How to work it out
- 1
82992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82992 is composite. Its prime factorisation is
- 3
The divisors add up to 277760; without 82992 itself that is 194768, so 82992 is abundant (194768 is more than 82992). Euler's totient φ(82992) = 20736 numbers up to 82992 share no factor with it.
- 4
The digits of 82992 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82992 = 2^{4} \times 3 \times 7 \times 13 \times 19 \]82992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 277760 |
| Euler totient φ(n) | 20736 |
| Square | 6887672064 |
| Cube | 571621679935488 |
| Square root | 288.083321 (= 4√5187) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.2992 × |
82992 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and ninety-two |
| Binary (base 2) | 10100010000110000 |
| Octal (base 8) | 242060 |
| Hexadecimal (base 16) | 14430 |
| Base 3 | 11012211210 |
| As time | 82992 seconds = 23 h 3 min 12 s |
Is 82992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82992 ÷ 2 = 41496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82992 ÷ 3 = 27664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82992 ÷ 4 = 20748) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82992 ÷ 6 = 13832) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82992 ÷ 7 = 11856) | 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 | Yes (82992 ÷ 8 = 10374) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (82992 ÷ 12 = 6916) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82992 a prime number?
No. 82992 = × 3 × 7 × 13 × 19, so it is divisible by 2.
What are the factors of 82992?
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 19, 21, 24, 26, 28, 38, 39, 42, 48, 52, 56, 57, 76, 78, 84, 91, 104, 112, 114, 133, 152, 156, 168, 182, 208, 228, 247, 266, 273, 304, 312, 336, 364, 399, 456, 494, 532, 546, 624, 728, 741, 798, 912, 988, 1064, 1092, 1456, 1482, 1596, 1729, 1976, 2128, 2184, 2964, 3192, 3458, 3952, 4368, 5187, 5928, 6384, 6916, 10374, 11856, 13832, 20748, 27664, 41496, 82992.
What is 82992 in binary?
10100010000110000 (hexadecimal 14430, octal 242060).
What is the square root of 82992?
About 288.0833, exactly 4√5187.
Is 82992 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 82992?
It is a composite number with 80 divisors.