The number 82002
82002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 79 × 173. Divisors (16): 1, 2, 3, 6, 79, 158, 173, 237, 346, 474, 519, 1038, 13667, 27334, 41001, 82002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82002 is composite. Its prime factorisation is
- 3
The divisors add up to 167040; without 82002 itself that is 85038, so 82002 is abundant (85038 is more than 82002). Euler's totient φ(82002) = 26832 numbers up to 82002 share no factor with it.
- 4
The digits of 82002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82002 = 2 \times 3 \times 79 \times 173 \]
82002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 167040 |
| Euler totient φ(n) | 26832 |
| Square | 6724328004 |
| Cube | 551408344984008 |
| Square root | 286.359913 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.2002 × |
82002 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and two |
| Binary (base 2) | 10100000001010010 |
| Octal (base 8) | 240122 |
| Hexadecimal (base 16) | 14052 |
| Base 3 | 11011111010 |
| As time | 82002 seconds = 22 h 46 min 42 s |
Is 82002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82002 ÷ 2 = 41001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82002 ÷ 3 = 27334) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82002 ÷ 6 = 13667) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82002 a prime number?
No. 82002 = 2 × 3 × 79 × 173, so it is divisible by 2.
What are the factors of 82002?
1, 2, 3, 6, 79, 158, 173, 237, 346, 474, 519, 1038, 13667, 27334, 41001, 82002.
What is 82002 in binary?
10100000001010010 (hexadecimal 14052, octal 240122).
What is the square root of 82002?
About 286.3599.
Is 82002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 82002?
It is a composite number with 16 divisors.