The number 31304
31304 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 43. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 43, 52, 56, 86, 91, 104, 172 … 31304.
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How to work it out
- 1
31304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31304 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 31304 itself that is 42616, so 31304 is abundant (42616 is more than 31304). Euler's totient φ(31304) = 12096 numbers up to 31304 share no factor with it.
- 4
The digits of 31304 add up to 11, 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
\[ 31304 = 2^{3} \times 7 \times 13 \times 43 \]31304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 12096 |
| Square | 979940416 |
| Cube | 30676054782464 |
| Square root | 176.929364 (= 2√7826) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1304 × |
31304 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and four |
| Binary (base 2) | 111101001001000 |
| Octal (base 8) | 75110 |
| Hexadecimal (base 16) | 7A48 |
| Base 3 | 1120221102 |
| As time | 31304 seconds = 8 h 41 min 44 s |
Is 31304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31304 ÷ 2 = 15652) | 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 (31304 ÷ 4 = 7826) | 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 | Yes (31304 ÷ 7 = 4472) | 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 (31304 ÷ 8 = 3913) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 31304 a prime number?
No. 31304 = × 7 × 13 × 43, so it is divisible by 2.
What are the factors of 31304?
1, 2, 4, 7, 8, 13, 14, 26, 28, 43, 52, 56, 86, 91, 104, 172, 182, 301, 344, 364, 559, 602, 728, 1118, 1204, 2236, 2408, 3913, 4472, 7826, 15652, 31304.
What is 31304 in binary?
111101001001000 (hexadecimal 7A48, octal 75110).
What is the square root of 31304?
About 176.9294, exactly 2√7826.
Is 31304 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31304?
It is a composite number with 32 divisors.