The number 82929
82929 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 359. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 231, 359, 1077, 2513, 3949, 7539, 11847, 27643, 82929.
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How to work it out
- 1
82929 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82929 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 82929 itself that is 55311, so 82929 is deficient (55311 is less than 82929). Euler's totient φ(82929) = 42960 numbers up to 82929 share no factor with it.
- 4
The digits of 82929 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82929 = 3 \times 7 \times 11 \times 359 \]
82929 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 42960 |
| Square | 6877219041 |
| Cube | 570320897851089 |
| Square root | 287.973957 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2929 × |
82929 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and twenty-nine |
| Binary (base 2) | 10100001111110001 |
| Octal (base 8) | 241761 |
| Hexadecimal (base 16) | 143F1 |
| Base 3 | 11012202110 |
| As time | 82929 seconds = 23 h 2 min 9 s |
Is 82929 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 (82929 ÷ 3 = 27643) | 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 4) | 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 | Yes (82929 ÷ 7 = 11847) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (82929 ÷ 11 = 7539) | 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 82929 a prime number?
No. 82929 = 3 × 7 × 11 × 359, so it is divisible by 3.
What are the factors of 82929?
1, 3, 7, 11, 21, 33, 77, 231, 359, 1077, 2513, 3949, 7539, 11847, 27643, 82929.
What is 82929 in binary?
10100001111110001 (hexadecimal 143F1, octal 241761).
What is the square root of 82929?
About 287.9740.
Is 82929 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 82929?
It is a composite number with 16 divisors.