The number 31396
31396 is a composite number with 12 divisors. Its prime factorisation is × 47 × 167. Divisors (12): 1, 2, 4, 47, 94, 167, 188, 334, 668, 7849, 15698, 31396.
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How to work it out
- 1
31396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31396 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 31396 itself that is 25052, so 31396 is deficient (25052 is less than 31396). Euler's totient φ(31396) = 15272 numbers up to 31396 share no factor with it.
- 4
The digits of 31396 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31396 = 2^{2} \times 47 \times 167 \]31396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 15272 |
| Square | 985708816 |
| Cube | 30947313987136 |
| Square root | 177.189164 (= 2√7849) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.1396 × |
31396 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and ninety-six |
| Binary (base 2) | 111101010100100 |
| Octal (base 8) | 75244 |
| Hexadecimal (base 16) | 7AA4 |
| Base 3 | 1121001211 |
| As time | 31396 seconds = 8 h 43 min 16 s |
Is 31396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31396 ÷ 2 = 15698) | 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 (31396 ÷ 4 = 7849) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | 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 31396 a prime number?
No. 31396 = × 47 × 167, so it is divisible by 2.
What are the factors of 31396?
1, 2, 4, 47, 94, 167, 188, 334, 668, 7849, 15698, 31396.
What is 31396 in binary?
111101010100100 (hexadecimal 7AA4, octal 75244).
What is the square root of 31396?
About 177.1892, exactly 2√7849.
Is 31396 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 31396?
It is a composite number with 12 divisors.