The number 82001
82001 is a composite number with 4 divisors. Its prime factorisation is 43 × 1907. Divisors (4): 1, 43, 1907, 82001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82001: a semiprime: 43 × 1907, the product of two primes.
- 2
82001 is composite. Its prime factorisation is
- 3
The divisors add up to 83952; without 82001 itself that is 1951, so 82001 is deficient (1951 is less than 82001). Euler's totient φ(82001) = 80052 numbers up to 82001 share no factor with it.
- 4
The digits of 82001 add up to 11, 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
\[ 82001 = 43 \times 1907 \]
82001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83952 |
| Euler totient φ(n) | 80052 |
| Square | 6724164001 |
| Cube | 551388172246001 |
| Square root | 286.358167 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2001 × |
82001 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and one |
| Binary (base 2) | 10100000001010001 |
| Octal (base 8) | 240121 |
| Hexadecimal (base 16) | 14051 |
| Base 3 | 11011111002 |
| As time | 82001 seconds = 22 h 46 min 41 s |
Is 82001 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 1) | 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 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 82001 a prime number?
No. 82001 = 43 × 1907, so it is divisible by 43.
What are the factors of 82001?
1, 43, 1907, 82001.
What is 82001 in binary?
10100000001010001 (hexadecimal 14051, octal 240121).
What is the square root of 82001?
About 286.3582.
Is 82001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 82001?
82001 is a semiprime: 43 × 1907, the product of two primes.