The number 82732
82732 is a composite number with 24 divisors. Its prime factorisation is × 13 × 37 × 43. Divisors (24): 1, 2, 4, 13, 26, 37, 43, 52, 74, 86, 148, 172, 481, 559, 962, 1118 … 82732.
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How to work it out
- 1
What is special about 82732: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82732 is composite. Its prime factorisation is
- 3
The divisors add up to 163856; without 82732 itself that is 81124, so 82732 is deficient (81124 is less than 82732). Euler's totient φ(82732) = 36288 numbers up to 82732 share no factor with it.
- 4
The digits of 82732 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82732 = 2^{2} \times 13 \times 37 \times 43 \]82732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163856 |
| Euler totient φ(n) | 36288 |
| Square | 6844583824 |
| Cube | 566266108927168 |
| Square root | 287.631709 (= 2√20683) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2732 × |
82732 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and thirty-two |
| Binary (base 2) | 10100001100101100 |
| Octal (base 8) | 241454 |
| Hexadecimal (base 16) | 1432C |
| Base 3 | 11012111011 |
| As time | 82732 seconds = 22 h 58 min 52 s |
Is 82732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82732 ÷ 2 = 41366) | 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 | Yes (82732 ÷ 4 = 20683) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82732 a prime number?
No. 82732 = × 13 × 37 × 43, so it is divisible by 2.
What are the factors of 82732?
1, 2, 4, 13, 26, 37, 43, 52, 74, 86, 148, 172, 481, 559, 962, 1118, 1591, 1924, 2236, 3182, 6364, 20683, 41366, 82732.
What is 82732 in binary?
10100001100101100 (hexadecimal 1432C, octal 241454).
What is the square root of 82732?
About 287.6317, exactly 2√20683.
Is 82732 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 82732?
82732 is a happy number: repeatedly adding the squares of its digits reaches 1.