The number 82470
82470 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2749. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2749, 5498, 8247, 13745, 16494, 27490, 41235, 82470.
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How to work it out
- 1
What is special about 82470: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82470 is composite. Its prime factorisation is
- 3
The divisors add up to 198000; without 82470 itself that is 115530, so 82470 is abundant (115530 is more than 82470). Euler's totient φ(82470) = 21984 numbers up to 82470 share no factor with it.
- 4
The digits of 82470 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82470 = 2 \times 3 \times 5 \times 2749 \]
82470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 198000 |
| Euler totient φ(n) | 21984 |
| Square | 6801300900 |
| Cube | 560903285223000 |
| Square root | 287.175904 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.247 × |
82470 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and seventy |
| Binary (base 2) | 10100001000100110 |
| Octal (base 8) | 241046 |
| Hexadecimal (base 16) | 14226 |
| Base 3 | 11012010110 |
| As time | 82470 seconds = 22 h 54 min 30 s |
Is 82470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82470 ÷ 2 = 41235) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82470 ÷ 3 = 27490) | 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 (82470 ÷ 5 = 16494) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82470 ÷ 6 = 13745) | 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 6) | 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 | Yes (82470 ÷ 10 = 8247) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82470 a prime number?
No. 82470 = 2 × 3 × 5 × 2749, so it is divisible by 2.
What are the factors of 82470?
1, 2, 3, 5, 6, 10, 15, 30, 2749, 5498, 8247, 13745, 16494, 27490, 41235, 82470.
What is 82470 in binary?
10100001000100110 (hexadecimal 14226, octal 241046).
What is the square root of 82470?
About 287.1759.
Is 82470 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82470?
82470 is a happy number: repeatedly adding the squares of its digits reaches 1.