The number 31382
31382 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 71. Divisors (16): 1, 2, 13, 17, 26, 34, 71, 142, 221, 442, 923, 1207, 1846, 2414, 15691, 31382.
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How to work it out
- 1
What is special about 31382: a Harshad number: divisible by its digit sum 17.
- 2
31382 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 31382 itself that is 23050, so 31382 is deficient (23050 is less than 31382). Euler's totient φ(31382) = 13440 numbers up to 31382 share no factor with it.
- 4
The digits of 31382 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31382 = 2 \times 13 \times 17 \times 71 \]
31382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 13440 |
| Square | 984829924 |
| Cube | 30905932674968 |
| Square root | 177.149654 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1382 × |
31382 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and eighty-two |
| Binary (base 2) | 111101010010110 |
| Octal (base 8) | 75226 |
| Hexadecimal (base 16) | 7A96 |
| Base 3 | 1121001022 |
| As time | 31382 seconds = 8 h 43 min 2 s |
Is 31382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31382 ÷ 2 = 15691) | 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 1) | 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 8) | 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 10) | 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 31382 a prime number?
No. 31382 = 2 × 13 × 17 × 71, so it is divisible by 2.
What are the factors of 31382?
1, 2, 13, 17, 26, 34, 71, 142, 221, 442, 923, 1207, 1846, 2414, 15691, 31382.
What is 31382 in binary?
111101010010110 (hexadecimal 7A96, octal 75226).
What is the square root of 31382?
About 177.1497.
Is 31382 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31382?
31382 is a Harshad number: divisible by its digit sum 17.