The number 47082
47082 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 19 × 59. Divisors (32): 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 59, 114, 118, 133, 177 … 47082.
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How to work it out
- 1
What is special about 47082: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
47082 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 47082 itself that is 68118, so 47082 is abundant (68118 is more than 47082). Euler's totient φ(47082) = 12528 numbers up to 47082 share no factor with it.
- 4
The digits of 47082 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47082 = 2 \times 3 \times 7 \times 19 \times 59 \]
47082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 12528 |
| Square | 2216714724 |
| Cube | 104367362635368 |
| Square root | 216.983870 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7082 × |
47082 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eighty-two |
| Binary (base 2) | 1011011111101010 |
| Octal (base 8) | 133752 |
| Hexadecimal (base 16) | B7EA |
| Base 3 | 2101120210 |
| As time | 47082 seconds = 13 h 4 min 42 s |
Is 47082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47082 ÷ 2 = 23541) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47082 ÷ 3 = 15694) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47082 ÷ 6 = 7847) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47082 ÷ 7 = 6726) | 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 3) | 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 2) | 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 47082 a prime number?
No. 47082 = 2 × 3 × 7 × 19 × 59, so it is divisible by 2.
What are the factors of 47082?
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 59, 114, 118, 133, 177, 266, 354, 399, 413, 798, 826, 1121, 1239, 2242, 2478, 3363, 6726, 7847, 15694, 23541, 47082.
What is 47082 in binary?
1011011111101010 (hexadecimal B7EA, octal 133752).
What is the square root of 47082?
About 216.9839.
Is 47082 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47082?
47082 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.