The number 3782
3782 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 61. Divisors (8): 1, 2, 31, 61, 62, 122, 1891, 3782.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3782 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3782 is composite. Its prime factorisation is
- 3
The divisors add up to 5952; without 3782 itself that is 2170, so 3782 is deficient (2170 is less than 3782). Euler's totient φ(3782) = 1800 numbers up to 3782 share no factor with it.
- 4
The digits of 3782 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3782 = 2 \times 31 \times 61 \]
3782 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5952 |
| Euler totient φ(n) | 1800 |
| Square | 14303524 |
| Cube | 54095927768 |
| Square root | 61.497967 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.782 × |
3782 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eighty-two |
| Roman numerals | MMMDCCLXXXII |
| Binary (base 2) | 111011000110 |
| Octal (base 8) | 7306 |
| Hexadecimal (base 16) | EC6 |
| Base 3 | 12012002 |
| As time | 3782 seconds = 1 h 3 min 2 s |
Is 3782 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3782 ÷ 2 = 1891) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3782 a prime number?
No. 3782 = 2 × 31 × 61, so it is divisible by 2.
What are the factors of 3782?
1, 2, 31, 61, 62, 122, 1891, 3782.
What is 3782 in binary?
111011000110 (hexadecimal EC6, octal 7306).
What is the square root of 3782?
About 61.4980.
What is 3782 in Roman numerals?
MMMDCCLXXXII.
Is 3782 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3782?
It is a composite number with 8 divisors.