The number 82450
82450 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 97. Divisors (24): 1, 2, 5, 10, 17, 25, 34, 50, 85, 97, 170, 194, 425, 485, 850, 970 … 82450.
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How to work it out
- 1
What is special about 82450: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82450 is composite. Its prime factorisation is
- 3
The divisors add up to 164052; without 82450 itself that is 81602, so 82450 is deficient (81602 is less than 82450). Euler's totient φ(82450) = 30720 numbers up to 82450 share no factor with it.
- 4
The digits of 82450 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 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82450 = 2 \times 5^{2} \times 17 \times 97 \]82450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 164052 |
| Euler totient φ(n) | 30720 |
| Square | 6798002500 |
| Cube | 560495306125000 |
| Square root | 287.141080 (= 5√3298) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.245 × |
82450 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and fifty |
| Binary (base 2) | 10100001000010010 |
| Octal (base 8) | 241022 |
| Hexadecimal (base 16) | 14212 |
| Base 3 | 11012002201 |
| As time | 82450 seconds = 22 h 54 min 10 s |
Is 82450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82450 ÷ 2 = 41225) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82450 ÷ 5 = 16490) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 | Yes (82450 ÷ 10 = 8245) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82450 a prime number?
No. 82450 = 2 × × 17 × 97, so it is divisible by 2.
What are the factors of 82450?
1, 2, 5, 10, 17, 25, 34, 50, 85, 97, 170, 194, 425, 485, 850, 970, 1649, 2425, 3298, 4850, 8245, 16490, 41225, 82450.
What is 82450 in binary?
10100001000010010 (hexadecimal 14212, octal 241022).
What is the square root of 82450?
About 287.1411, exactly 5√3298.
Is 82450 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 82450?
82450 is a happy number: repeatedly adding the squares of its digits reaches 1.