The number 1382
1382 is a composite number with 4 divisors. Its prime factorisation is 2 × 691. Divisors (4): 1, 2, 691, 1382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1382: a semiprime: 2 × 691, the product of two primes.
- 2
1382 is composite. Its prime factorisation is
- 3
The divisors add up to 2076; without 1382 itself that is 694, so 1382 is deficient (694 is less than 1382). Euler's totient φ(1382) = 690 numbers up to 1382 share no factor with it.
- 4
The digits of 1382 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1382 = 2 \times 691 \]
1382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2076 |
| Euler totient φ(n) | 690 |
| Square | 1909924 |
| Cube | 2639514968 |
| Square root | 37.175261 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.382 × |
1382 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and eighty-two |
| Roman numerals | MCCCLXXXII |
| Binary (base 2) | 10101100110 |
| Octal (base 8) | 2546 |
| Hexadecimal (base 16) | 566 |
| Base 3 | 1220012 |
| As time | 1382 seconds = 23 min 2 s |
Is 1382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1382 ÷ 2 = 691) | 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 3) | 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 5) | 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 7) | 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 1382 a prime number?
No. 1382 = 2 × 691, so it is divisible by 2.
What are the factors of 1382?
1, 2, 691, 1382.
What is 1382 in binary?
10101100110 (hexadecimal 566, octal 2546).
What is the square root of 1382?
About 37.1753.
What is 1382 in Roman numerals?
MCCCLXXXII.
Is 1382 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1382?
1382 is a semiprime: 2 × 691, the product of two primes.