The number 31130
31130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 283. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 283, 566, 1415, 2830, 3113, 6226, 15565, 31130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31130 is composite. Its prime factorisation is
- 3
The divisors add up to 61344; without 31130 itself that is 30214, so 31130 is deficient (30214 is less than 31130). Euler's totient φ(31130) = 11280 numbers up to 31130 share no factor with it.
- 4
The digits of 31130 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31130 = 2 \times 5 \times 11 \times 283 \]
31130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61344 |
| Euler totient φ(n) | 11280 |
| Square | 969076900 |
| Cube | 30167363897000 |
| Square root | 176.436958 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.113 × |
31130 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and thirty |
| Binary (base 2) | 111100110011010 |
| Octal (base 8) | 74632 |
| Hexadecimal (base 16) | 799A |
| Base 3 | 1120200222 |
| As time | 31130 seconds = 8 h 38 min 50 s |
Is 31130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31130 ÷ 2 = 15565) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31130 ÷ 5 = 6226) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31130 ÷ 10 = 3113) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31130 ÷ 11 = 2830) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31130 a prime number?
No. 31130 = 2 × 5 × 11 × 283, so it is divisible by 2.
What are the factors of 31130?
1, 2, 5, 10, 11, 22, 55, 110, 283, 566, 1415, 2830, 3113, 6226, 15565, 31130.
What is 31130 in binary?
111100110011010 (hexadecimal 799A, octal 74632).
What is the square root of 31130?
About 176.4370.
Is 31130 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 31130?
It is a composite number with 16 divisors.