The number 31143
31143 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1483. Divisors (8): 1, 3, 7, 21, 1483, 4449, 10381, 31143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31143 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31143 is composite. Its prime factorisation is
- 3
The divisors add up to 47488; without 31143 itself that is 16345, so 31143 is deficient (16345 is less than 31143). Euler's totient φ(31143) = 17784 numbers up to 31143 share no factor with it.
- 4
The digits of 31143 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 222 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31143 = 3 \times 7 \times 1483 \]
31143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47488 |
| Euler totient φ(n) | 17784 |
| Square | 969886449 |
| Cube | 30205173681207 |
| Square root | 176.473794 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 222 |
| Scientific notation | 3.1143 × |
31143 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and forty-three |
| Binary (base 2) | 111100110100111 |
| Octal (base 8) | 74647 |
| Hexadecimal (base 16) | 79A7 |
| Base 3 | 1120201110 |
| As time | 31143 seconds = 8 h 39 min 3 s |
Is 31143 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 (31143 ÷ 3 = 10381) | 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 | Yes (31143 ÷ 7 = 4449) | 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 | No (remainder 3) | 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 | No (remainder 2) | 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 31143 a prime number?
No. 31143 = 3 × 7 × 1483, so it is divisible by 3.
What are the factors of 31143?
1, 3, 7, 21, 1483, 4449, 10381, 31143.
What is 31143 in binary?
111100110100111 (hexadecimal 79A7, octal 74647).
What is the square root of 31143?
About 176.4738.
Is 31143 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31143?
It is a composite number with 8 divisors.