The number 31347
31347 is a composite number with 14 divisors. Its prime factorisation is × 43. Divisors (14): 1, 3, 9, 27, 43, 81, 129, 243, 387, 729, 1161, 3483, 10449, 31347.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31347 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31347 is composite. Its prime factorisation is
- 3
The divisors add up to 48092; without 31347 itself that is 16745, so 31347 is deficient (16745 is less than 31347). Euler's totient φ(31347) = 20412 numbers up to 31347 share no factor with it.
- 4
The digits of 31347 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31347 = 3^{6} \times 43 \]31347 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 48092 |
| Euler totient φ(n) | 20412 |
| Square | 982634409 |
| Cube | 30802640818923 |
| Square root | 177.050840 (= 27√43) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.1347 × |
31347 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty-seven |
| Binary (base 2) | 111101001110011 |
| Octal (base 8) | 75163 |
| Hexadecimal (base 16) | 7A73 |
| Base 3 | 1121000000 |
| As time | 31347 seconds = 8 h 42 min 27 s |
Is 31347 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 (31347 ÷ 3 = 10449) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31347 ÷ 9 = 3483) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31347 a prime number?
No. 31347 = × 43, so it is divisible by 3.
What are the factors of 31347?
1, 3, 9, 27, 43, 81, 129, 243, 387, 729, 1161, 3483, 10449, 31347.
What is 31347 in binary?
111101001110011 (hexadecimal 7A73, octal 75163).
What is the square root of 31347?
About 177.0508, exactly 27√43.
Is 31347 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31347?
It is a composite number with 14 divisors.