The number 31794
31794 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 757. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 757, 1514, 2271, 4542, 5299, 10598, 15897, 31794.
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How to work it out
- 1
31794 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31794 is composite. Its prime factorisation is
- 3
The divisors add up to 72768; without 31794 itself that is 40974, so 31794 is abundant (40974 is more than 31794). Euler's totient φ(31794) = 9072 numbers up to 31794 share no factor with it.
- 4
The digits of 31794 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31794 = 2 \times 3 \times 7 \times 757 \]
31794 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72768 |
| Euler totient φ(n) | 9072 |
| Square | 1010858436 |
| Cube | 32139233114184 |
| Square root | 178.308721 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1794 × |
31794 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and ninety-four |
| Binary (base 2) | 111110000110010 |
| Octal (base 8) | 76062 |
| Hexadecimal (base 16) | 7C32 |
| Base 3 | 1121121120 |
| As time | 31794 seconds = 8 h 49 min 54 s |
Is 31794 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31794 ÷ 2 = 15897) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31794 ÷ 3 = 10598) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (31794 ÷ 6 = 5299) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31794 ÷ 7 = 4542) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31794 a prime number?
No. 31794 = 2 × 3 × 7 × 757, so it is divisible by 2.
What are the factors of 31794?
1, 2, 3, 6, 7, 14, 21, 42, 757, 1514, 2271, 4542, 5299, 10598, 15897, 31794.
What is 31794 in binary?
111110000110010 (hexadecimal 7C32, octal 76062).
What is the square root of 31794?
About 178.3087.
Is 31794 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 31794?
It is a composite number with 16 divisors.