The number 31696
31696 is a composite number with 20 divisors. Its prime factorisation is × 7 × 283. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 283, 566, 1132, 1981, 2264, 3962 … 31696.
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How to work it out
- 1
31696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31696 is composite. Its prime factorisation is
- 3
The divisors add up to 70432; without 31696 itself that is 38736, so 31696 is abundant (38736 is more than 31696). Euler's totient φ(31696) = 13536 numbers up to 31696 share no factor with it.
- 4
The digits of 31696 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31696 = 2^{4} \times 7 \times 283 \]31696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 70432 |
| Euler totient φ(n) | 13536 |
| Square | 1004636416 |
| Cube | 31842955841536 |
| Square root | 178.033705 (= 4√1981) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1696 × |
31696 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and ninety-six |
| Binary (base 2) | 111101111010000 |
| Octal (base 8) | 75720 |
| Hexadecimal (base 16) | 7BD0 |
| Base 3 | 1121110221 |
| As time | 31696 seconds = 8 h 48 min 16 s |
Is 31696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31696 ÷ 2 = 15848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31696 ÷ 4 = 7924) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31696 ÷ 7 = 4528) | 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 | Yes (31696 ÷ 8 = 3962) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31696 a prime number?
No. 31696 = × 7 × 283, so it is divisible by 2.
What are the factors of 31696?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 283, 566, 1132, 1981, 2264, 3962, 4528, 7924, 15848, 31696.
What is 31696 in binary?
111101111010000 (hexadecimal 7BD0, octal 75720).
What is the square root of 31696?
About 178.0337, exactly 4√1981.
Is 31696 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 31696?
It is a composite number with 20 divisors.