The number 82550
82550 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 127. Divisors (24): 1, 2, 5, 10, 13, 25, 26, 50, 65, 127, 130, 254, 325, 635, 650, 1270 … 82550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82550 is composite. Its prime factorisation is
- 3
The divisors add up to 166656; without 82550 itself that is 84106, so 82550 is abundant (84106 is more than 82550). Euler's totient φ(82550) = 30240 numbers up to 82550 share no factor with it.
- 4
The digits of 82550 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82550 = 2 \times 5^{2} \times 13 \times 127 \]82550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 166656 |
| Euler totient φ(n) | 30240 |
| Square | 6814502500 |
| Cube | 562537181375000 |
| Square root | 287.315158 (= 5√3302) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.255 × |
82550 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred and fifty |
| Binary (base 2) | 10100001001110110 |
| Octal (base 8) | 241166 |
| Hexadecimal (base 16) | 14276 |
| Base 3 | 11012020102 |
| As time | 82550 seconds = 22 h 55 min 50 s |
Is 82550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82550 ÷ 2 = 41275) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82550 ÷ 5 = 16510) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (82550 ÷ 10 = 8255) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82550 a prime number?
No. 82550 = 2 × × 13 × 127, so it is divisible by 2.
What are the factors of 82550?
1, 2, 5, 10, 13, 25, 26, 50, 65, 127, 130, 254, 325, 635, 650, 1270, 1651, 3175, 3302, 6350, 8255, 16510, 41275, 82550.
What is 82550 in binary?
10100001001110110 (hexadecimal 14276, octal 241166).
What is the square root of 82550?
About 287.3152, exactly 5√3302.
Is 82550 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 82550?
It is a composite number with 24 divisors.