The number 82015
82015 is a composite number with 8 divisors. Its prime factorisation is 5 × 47 × 349. Divisors (8): 1, 5, 47, 235, 349, 1745, 16403, 82015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82015: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82015 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 82015 itself that is 18785, so 82015 is deficient (18785 is less than 82015). Euler's totient φ(82015) = 64032 numbers up to 82015 share no factor with it.
- 4
The digits of 82015 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82015 = 5 \times 47 \times 349 \]
82015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 64032 |
| Square | 6726460225 |
| Cube | 551670635353375 |
| Square root | 286.382611 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.2015 × |
82015 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and fifteen |
| Binary (base 2) | 10100000001011111 |
| Octal (base 8) | 240137 |
| Hexadecimal (base 16) | 1405F |
| Base 3 | 11011111121 |
| As time | 82015 seconds = 22 h 46 min 55 s |
Is 82015 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82015 ÷ 5 = 16403) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82015 a prime number?
No. 82015 = 5 × 47 × 349, so it is divisible by 5.
What are the factors of 82015?
1, 5, 47, 235, 349, 1745, 16403, 82015.
What is 82015 in binary?
10100000001011111 (hexadecimal 1405F, octal 240137).
What is the square root of 82015?
About 286.3826.
Is 82015 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 82015?
82015 is a happy number: repeatedly adding the squares of its digits reaches 1.