The number 31383
31383 is a composite number with 12 divisors. Its prime factorisation is × 11 × 317. Divisors (12): 1, 3, 9, 11, 33, 99, 317, 951, 2853, 3487, 10461, 31383.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31383 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31383 is composite. Its prime factorisation is
- 3
The divisors add up to 49608; without 31383 itself that is 18225, so 31383 is deficient (18225 is less than 31383). Euler's totient φ(31383) = 18960 numbers up to 31383 share no factor with it.
- 4
The digits of 31383 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31383 = 3^{2} \times 11 \times 317 \]31383 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49608 |
| Euler totient φ(n) | 18960 |
| Square | 984892689 |
| Cube | 30908887258887 |
| Square root | 177.152477 (= 3√3487) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1383 × |
31383 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and eighty-three |
| Binary (base 2) | 111101010010111 |
| Octal (base 8) | 75227 |
| Hexadecimal (base 16) | 7A97 |
| Base 3 | 1121001100 |
| As time | 31383 seconds = 8 h 43 min 3 s |
Is 31383 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 (31383 ÷ 3 = 10461) | 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 3) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31383 ÷ 9 = 3487) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31383 ÷ 11 = 2853) | 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 31383 a prime number?
No. 31383 = × 11 × 317, so it is divisible by 3.
What are the factors of 31383?
1, 3, 9, 11, 33, 99, 317, 951, 2853, 3487, 10461, 31383.
What is 31383 in binary?
111101010010111 (hexadecimal 7A97, octal 75227).
What is the square root of 31383?
About 177.1525, exactly 3√3487.
Is 31383 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31383?
It is a composite number with 12 divisors.