The number 31084
31084 is a composite number with 12 divisors. Its prime factorisation is × 19 × 409. Divisors (12): 1, 2, 4, 19, 38, 76, 409, 818, 1636, 7771, 15542, 31084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31084 is composite. Its prime factorisation is
- 3
The divisors add up to 57400; without 31084 itself that is 26316, so 31084 is deficient (26316 is less than 31084). Euler's totient φ(31084) = 14688 numbers up to 31084 share no factor with it.
- 4
The digits of 31084 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31084 = 2^{2} \times 19 \times 409 \]31084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57400 |
| Euler totient φ(n) | 14688 |
| Square | 966215056 |
| Cube | 30033828800704 |
| Square root | 176.306551 (= 2√7771) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1084 × |
31084 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and eighty-four |
| Binary (base 2) | 111100101101100 |
| Octal (base 8) | 74554 |
| Hexadecimal (base 16) | 796C |
| Base 3 | 1120122021 |
| As time | 31084 seconds = 8 h 38 min 4 s |
Is 31084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31084 ÷ 2 = 15542) | 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 (31084 ÷ 4 = 7771) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 31084 a prime number?
No. 31084 = × 19 × 409, so it is divisible by 2.
What are the factors of 31084?
1, 2, 4, 19, 38, 76, 409, 818, 1636, 7771, 15542, 31084.
What is 31084 in binary?
111100101101100 (hexadecimal 796C, octal 74554).
What is the square root of 31084?
About 176.3066, exactly 2√7771.
Is 31084 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31084?
It is a composite number with 12 divisors.