The number 31196
31196 is a composite number with 12 divisors. Its prime factorisation is × 11 × 709. Divisors (12): 1, 2, 4, 11, 22, 44, 709, 1418, 2836, 7799, 15598, 31196.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31196 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31196 is composite. Its prime factorisation is
- 3
The divisors add up to 59640; without 31196 itself that is 28444, so 31196 is deficient (28444 is less than 31196). Euler's totient φ(31196) = 14160 numbers up to 31196 share no factor with it.
- 4
The digits of 31196 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31196 = 2^{2} \times 11 \times 709 \]31196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59640 |
| Euler totient φ(n) | 14160 |
| Square | 973190416 |
| Cube | 30359648217536 |
| Square root | 176.623894 (= 2√7799) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1196 × |
31196 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and ninety-six |
| Binary (base 2) | 111100111011100 |
| Octal (base 8) | 74734 |
| Hexadecimal (base 16) | 79DC |
| Base 3 | 1120210102 |
| As time | 31196 seconds = 8 h 39 min 56 s |
Is 31196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31196 ÷ 2 = 15598) | 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 | Yes (31196 ÷ 4 = 7799) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31196 ÷ 11 = 2836) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31196 a prime number?
No. 31196 = × 11 × 709, so it is divisible by 2.
What are the factors of 31196?
1, 2, 4, 11, 22, 44, 709, 1418, 2836, 7799, 15598, 31196.
What is 31196 in binary?
111100111011100 (hexadecimal 79DC, octal 74734).
What is the square root of 31196?
About 176.6239, exactly 2√7799.
Is 31196 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31196?
It is a composite number with 12 divisors.