The number 31180
31180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1559. Divisors (12): 1, 2, 4, 5, 10, 20, 1559, 3118, 6236, 7795, 15590, 31180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31180 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 31180 itself that is 34340, so 31180 is abundant (34340 is more than 31180). Euler's totient φ(31180) = 12464 numbers up to 31180 share no factor with it.
- 4
The digits of 31180 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31180 = 2^{2} \times 5 \times 1559 \]31180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 12464 |
| Square | 972192400 |
| Cube | 30312959032000 |
| Square root | 176.578594 (= 2√7795) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.118 × |
31180 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and eighty |
| Binary (base 2) | 111100111001100 |
| Octal (base 8) | 74714 |
| Hexadecimal (base 16) | 79CC |
| Base 3 | 1120202211 |
| As time | 31180 seconds = 8 h 39 min 40 s |
Is 31180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31180 ÷ 2 = 15590) | 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 (31180 ÷ 4 = 7795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31180 ÷ 5 = 6236) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31180 ÷ 10 = 3118) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 31180 a prime number?
No. 31180 = × 5 × 1559, so it is divisible by 2.
What are the factors of 31180?
1, 2, 4, 5, 10, 20, 1559, 3118, 6236, 7795, 15590, 31180.
What is 31180 in binary?
111100111001100 (hexadecimal 79CC, octal 74714).
What is the square root of 31180?
About 176.5786, exactly 2√7795.
Is 31180 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31180?
It is a composite number with 12 divisors.