The number 31682
31682 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 31 × 73. Divisors (16): 1, 2, 7, 14, 31, 62, 73, 146, 217, 434, 511, 1022, 2263, 4526, 15841, 31682.
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How to work it out
- 1
31682 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31682 is composite. Its prime factorisation is
- 3
The divisors add up to 56832; without 31682 itself that is 25150, so 31682 is deficient (25150 is less than 31682). Euler's totient φ(31682) = 12960 numbers up to 31682 share no factor with it.
- 4
The digits of 31682 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31682 = 2 \times 7 \times 31 \times 73 \]
31682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56832 |
| Euler totient φ(n) | 12960 |
| Square | 1003749124 |
| Cube | 31800779746568 |
| Square root | 177.994382 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1682 × |
31682 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and eighty-two |
| Binary (base 2) | 111101111000010 |
| Octal (base 8) | 75702 |
| Hexadecimal (base 16) | 7BC2 |
| Base 3 | 1121110102 |
| As time | 31682 seconds = 8 h 48 min 2 s |
Is 31682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31682 ÷ 2 = 15841) | 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 | Yes (31682 ÷ 7 = 4526) | 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 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 2) | 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 31682 a prime number?
No. 31682 = 2 × 7 × 31 × 73, so it is divisible by 2.
What are the factors of 31682?
1, 2, 7, 14, 31, 62, 73, 146, 217, 434, 511, 1022, 2263, 4526, 15841, 31682.
What is 31682 in binary?
111101111000010 (hexadecimal 7BC2, octal 75702).
What is the square root of 31682?
About 177.9944.
Is 31682 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31682?
It is a composite number with 16 divisors.