The number 31996
31996 is a composite number with 12 divisors. Its prime factorisation is × 19 × 421. Divisors (12): 1, 2, 4, 19, 38, 76, 421, 842, 1684, 7999, 15998, 31996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31996: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31996 is composite. Its prime factorisation is
- 3
The divisors add up to 59080; without 31996 itself that is 27084, so 31996 is deficient (27084 is less than 31996). Euler's totient φ(31996) = 15120 numbers up to 31996 share no factor with it.
- 4
The digits of 31996 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31996 = 2^{2} \times 19 \times 421 \]31996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59080 |
| Euler totient φ(n) | 15120 |
| Square | 1023744016 |
| Cube | 32755713535936 |
| Square root | 178.874258 (= 2√7999) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.1996 × |
31996 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and ninety-six |
| Binary (base 2) | 111110011111100 |
| Octal (base 8) | 76374 |
| Hexadecimal (base 16) | 7CFC |
| Base 3 | 1121220001 |
| As time | 31996 seconds = 8 h 53 min 16 s |
Is 31996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31996 ÷ 2 = 15998) | 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 (31996 ÷ 4 = 7999) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 31996 a prime number?
No. 31996 = × 19 × 421, so it is divisible by 2.
What are the factors of 31996?
1, 2, 4, 19, 38, 76, 421, 842, 1684, 7999, 15998, 31996.
What is 31996 in binary?
111110011111100 (hexadecimal 7CFC, octal 76374).
What is the square root of 31996?
About 178.8743, exactly 2√7999.
Is 31996 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 31996?
31996 is a happy number: repeatedly adding the squares of its digits reaches 1.