The number 82225
82225 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 23. Divisors (24): 1, 5, 11, 13, 23, 25, 55, 65, 115, 143, 253, 275, 299, 325, 575, 715 … 82225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82225 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 82225 itself that is 42767, so 82225 is deficient (42767 is less than 82225). Euler's totient φ(82225) = 52800 numbers up to 82225 share no factor with it.
- 4
The digits of 82225 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82225 = 5^{2} \times 11 \times 13 \times 23 \]82225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 52800 |
| Square | 6760950625 |
| Cube | 555919165140625 |
| Square root | 286.749019 (= 5√3289) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2225 × |
82225 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand two hundred and twenty-five |
| Binary (base 2) | 10100000100110001 |
| Octal (base 8) | 240461 |
| Hexadecimal (base 16) | 14131 |
| Base 3 | 11011210101 |
| As time | 82225 seconds = 22 h 50 min 25 s |
Is 82225 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82225 ÷ 5 = 16445) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (82225 ÷ 11 = 7475) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82225 a prime number?
No. 82225 = × 11 × 13 × 23, so it is divisible by 5.
What are the factors of 82225?
1, 5, 11, 13, 23, 25, 55, 65, 115, 143, 253, 275, 299, 325, 575, 715, 1265, 1495, 3289, 3575, 6325, 7475, 16445, 82225.
What is 82225 in binary?
10100000100110001 (hexadecimal 14131, octal 240461).
What is the square root of 82225?
About 286.7490, exactly 5√3289.
Is 82225 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 82225?
It is a composite number with 24 divisors.