The number 82101
82101 is a composite number with 4 divisors. Its prime factorisation is 3 × 27367. Divisors (4): 1, 3, 27367, 82101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82101: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27367, the product of two primes.
- 2
82101 is composite. Its prime factorisation is
- 3
The divisors add up to 109472; without 82101 itself that is 27371, so 82101 is deficient (27371 is less than 82101). Euler's totient φ(82101) = 54732 numbers up to 82101 share no factor with it.
- 4
The digits of 82101 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82101 = 3 \times 27367 \]
82101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 109472 |
| Euler totient φ(n) | 54732 |
| Square | 6740574201 |
| Cube | 553407882476301 |
| Square root | 286.532721 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2101 × |
82101 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and one |
| Binary (base 2) | 10100000010110101 |
| Octal (base 8) | 240265 |
| Hexadecimal (base 16) | 140B5 |
| Base 3 | 11011121210 |
| As time | 82101 seconds = 22 h 48 min 21 s |
Is 82101 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 (82101 ÷ 3 = 27367) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82101 a prime number?
No. 82101 = 3 × 27367, so it is divisible by 3.
What are the factors of 82101?
1, 3, 27367, 82101.
What is 82101 in binary?
10100000010110101 (hexadecimal 140B5, octal 240265).
What is the square root of 82101?
About 286.5327.
Is 82101 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 82101?
82101 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27367, the product of two primes.