The number 82740
82740 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 197. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 82740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82740: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
82740 is composite. Its prime factorisation is
- 3
The divisors add up to 266112; without 82740 itself that is 183372, so 82740 is abundant (183372 is more than 82740). Euler's totient φ(82740) = 18816 numbers up to 82740 share no factor with it.
- 4
The digits of 82740 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82740 = 2^{2} \times 3 \times 5 \times 7 \times 197 \]82740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 266112 |
| Euler totient φ(n) | 18816 |
| Square | 6845907600 |
| Cube | 566430394824000 |
| Square root | 287.645615 (= 2√20685) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.274 × |
82740 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and forty |
| Binary (base 2) | 10100001100110100 |
| Octal (base 8) | 241464 |
| Hexadecimal (base 16) | 14334 |
| Base 3 | 11012111110 |
| As time | 82740 seconds = 22 h 59 min 0 s |
Is 82740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82740 ÷ 2 = 41370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82740 ÷ 3 = 27580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82740 ÷ 4 = 20685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82740 ÷ 5 = 16548) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82740 ÷ 6 = 13790) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82740 ÷ 7 = 11820) | 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 4) | 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 (82740 ÷ 10 = 8274) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82740 ÷ 12 = 6895) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82740 a prime number?
No. 82740 = × 3 × 5 × 7 × 197, so it is divisible by 2.
What are the factors of 82740?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 197, 210, 394, 420, 591, 788, 985, 1182, 1379, 1970, 2364, 2758, 2955, 3940, 4137, 5516, 5910, 6895, 8274, 11820, 13790, 16548, 20685, 27580, 41370, 82740.
What is 82740 in binary?
10100001100110100 (hexadecimal 14334, octal 241464).
What is the square root of 82740?
About 287.6456, exactly 2√20685.
Is 82740 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82740?
82740 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.