The number 31364
31364 is a composite number with 6 divisors. Its prime factorisation is × 7841. Divisors (6): 1, 2, 4, 7841, 15682, 31364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31364 is composite. Its prime factorisation is
- 3
The divisors add up to 54894; without 31364 itself that is 23530, so 31364 is deficient (23530 is less than 31364). Euler's totient φ(31364) = 15680 numbers up to 31364 share no factor with it.
- 4
The digits of 31364 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
\[ 31364 = 2^{2} \times 7841 \]31364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 54894 |
| Euler totient φ(n) | 15680 |
| Square | 983700496 |
| Cube | 30852782356544 |
| Square root | 177.098842 (= 2√7841) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1364 × |
31364 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and sixty-four |
| Binary (base 2) | 111101010000100 |
| Octal (base 8) | 75204 |
| Hexadecimal (base 16) | 7A84 |
| Base 3 | 1121000122 |
| As time | 31364 seconds = 8 h 42 min 44 s |
Is 31364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31364 ÷ 2 = 15682) | 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 (31364 ÷ 4 = 7841) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 31364 a prime number?
No. 31364 = × 7841, so it is divisible by 2.
What are the factors of 31364?
1, 2, 4, 7841, 15682, 31364.
What is 31364 in binary?
111101010000100 (hexadecimal 7A84, octal 75204).
What is the square root of 31364?
About 177.0988, exactly 2√7841.
Is 31364 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31364?
It is a composite number with 6 divisors.