The number 31075
31075 is a composite number with 12 divisors. Its prime factorisation is × 11 × 113. Divisors (12): 1, 5, 11, 25, 55, 113, 275, 565, 1243, 2825, 6215, 31075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31075 is composite. Its prime factorisation is
- 3
The divisors add up to 42408; without 31075 itself that is 11333, so 31075 is deficient (11333 is less than 31075). Euler's totient φ(31075) = 22400 numbers up to 31075 share no factor with it.
- 4
The digits of 31075 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
\[ 31075 = 5^{2} \times 11 \times 113 \]31075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42408 |
| Euler totient φ(n) | 22400 |
| Square | 965655625 |
| Cube | 30007748546875 |
| Square root | 176.281026 (= 5√1243) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.1075 × |
31075 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-five |
| Binary (base 2) | 111100101100011 |
| Octal (base 8) | 74543 |
| Hexadecimal (base 16) | 7963 |
| Base 3 | 1120121221 |
| As time | 31075 seconds = 8 h 37 min 55 s |
Is 31075 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 | No (remainder 1) | 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 | Yes (31075 ÷ 5 = 6215) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31075 ÷ 11 = 2825) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31075 a prime number?
No. 31075 = × 11 × 113, so it is divisible by 5.
What are the factors of 31075?
1, 5, 11, 25, 55, 113, 275, 565, 1243, 2825, 6215, 31075.
What is 31075 in binary?
111100101100011 (hexadecimal 7963, octal 74543).
What is the square root of 31075?
About 176.2810, exactly 5√1243.
Is 31075 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31075?
It is a composite number with 12 divisors.