The number 31804
31804 is a composite number with 6 divisors. Its prime factorisation is × 7951. Divisors (6): 1, 2, 4, 7951, 15902, 31804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31804 is composite. Its prime factorisation is
- 3
The divisors add up to 55664; without 31804 itself that is 23860, so 31804 is deficient (23860 is less than 31804). Euler's totient φ(31804) = 15900 numbers up to 31804 share no factor with it.
- 4
The digits of 31804 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31804 = 2^{2} \times 7951 \]31804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55664 |
| Euler totient φ(n) | 15900 |
| Square | 1011494416 |
| Cube | 32169568406464 |
| Square root | 178.336760 (= 2√7951) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1804 × |
31804 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand eight hundred and four |
| Binary (base 2) | 111110000111100 |
| Octal (base 8) | 76074 |
| Hexadecimal (base 16) | 7C3C |
| Base 3 | 1121121221 |
| As time | 31804 seconds = 8 h 50 min 4 s |
Is 31804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31804 ÷ 2 = 15902) | 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 (31804 ÷ 4 = 7951) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31804 a prime number?
No. 31804 = × 7951, so it is divisible by 2.
What are the factors of 31804?
1, 2, 4, 7951, 15902, 31804.
What is 31804 in binary?
111110000111100 (hexadecimal 7C3C, octal 76074).
What is the square root of 31804?
About 178.3368, exactly 2√7951.
Is 31804 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31804?
It is a composite number with 6 divisors.