The number 31797
31797 is a composite number with 6 divisors. Its prime factorisation is × 3533. Divisors (6): 1, 3, 9, 3533, 10599, 31797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31797 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31797 is composite. Its prime factorisation is
- 3
The divisors add up to 45942; without 31797 itself that is 14145, so 31797 is deficient (14145 is less than 31797). Euler's totient φ(31797) = 21192 numbers up to 31797 share no factor with it.
- 4
The digits of 31797 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31797 = 3^{2} \times 3533 \]31797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 45942 |
| Euler totient φ(n) | 21192 |
| Square | 1011049209 |
| Cube | 32148331698573 |
| Square root | 178.317133 (= 3√3533) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.1797 × |
31797 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and ninety-seven |
| Binary (base 2) | 111110000110101 |
| Octal (base 8) | 76065 |
| Hexadecimal (base 16) | 7C35 |
| Base 3 | 1121121200 |
| As time | 31797 seconds = 8 h 49 min 57 s |
Is 31797 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31797 ÷ 3 = 10599) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31797 ÷ 9 = 3533) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31797 a prime number?
No. 31797 = × 3533, so it is divisible by 3.
What are the factors of 31797?
1, 3, 9, 3533, 10599, 31797.
What is 31797 in binary?
111110000110101 (hexadecimal 7C35, octal 76065).
What is the square root of 31797?
About 178.3171, exactly 3√3533.
Is 31797 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 31797?
It is a composite number with 6 divisors.