The number 31994
31994 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 941. Divisors (8): 1, 2, 17, 34, 941, 1882, 15997, 31994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31994: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31994 is composite. Its prime factorisation is
- 3
The divisors add up to 50868; without 31994 itself that is 18874, so 31994 is deficient (18874 is less than 31994). Euler's totient φ(31994) = 15040 numbers up to 31994 share no factor with it.
- 4
The digits of 31994 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31994 = 2 \times 17 \times 941 \]
31994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50868 |
| Euler totient φ(n) | 15040 |
| Square | 1023616036 |
| Cube | 32749571455784 |
| Square root | 178.868667 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.1994 × |
31994 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and ninety-four |
| Binary (base 2) | 111110011111010 |
| Octal (base 8) | 76372 |
| Hexadecimal (base 16) | 7CFA |
| Base 3 | 1121212222 |
| As time | 31994 seconds = 8 h 53 min 14 s |
Is 31994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31994 ÷ 2 = 15997) | 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 | 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 | 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 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31994 a prime number?
No. 31994 = 2 × 17 × 941, so it is divisible by 2.
What are the factors of 31994?
1, 2, 17, 34, 941, 1882, 15997, 31994.
What is 31994 in binary?
111110011111010 (hexadecimal 7CFA, octal 76372).
What is the square root of 31994?
About 178.8687.
Is 31994 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 31994?
31994 is a happy number: repeatedly adding the squares of its digits reaches 1.