The number 82738
82738 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 1009. Divisors (8): 1, 2, 41, 82, 1009, 2018, 41369, 82738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82738: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82738 is composite. Its prime factorisation is
- 3
The divisors add up to 127260; without 82738 itself that is 44522, so 82738 is deficient (44522 is less than 82738). Euler's totient φ(82738) = 40320 numbers up to 82738 share no factor with it.
- 4
The digits of 82738 add up to 28, 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
\[ 82738 = 2 \times 41 \times 1009 \]
82738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 127260 |
| Euler totient φ(n) | 40320 |
| Square | 6845576644 |
| Cube | 566389320371272 |
| Square root | 287.642139 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2738 × |
82738 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and thirty-eight |
| Binary (base 2) | 10100001100110010 |
| Octal (base 8) | 241462 |
| Hexadecimal (base 16) | 14332 |
| Base 3 | 11012111101 |
| As time | 82738 seconds = 22 h 58 min 58 s |
Is 82738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82738 ÷ 2 = 41369) | 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 | No (remainder 3) | 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 5) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 82738 a prime number?
No. 82738 = 2 × 41 × 1009, so it is divisible by 2.
What are the factors of 82738?
1, 2, 41, 82, 1009, 2018, 41369, 82738.
What is 82738 in binary?
10100001100110010 (hexadecimal 14332, octal 241462).
What is the square root of 82738?
About 287.6421.
Is 82738 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 82738?
82738 is a happy number: repeatedly adding the squares of its digits reaches 1.