The number 31170
31170 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1039. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1039, 2078, 3117, 5195, 6234, 10390, 15585, 31170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31170 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31170 is composite. Its prime factorisation is
- 3
The divisors add up to 74880; without 31170 itself that is 43710, so 31170 is abundant (43710 is more than 31170). Euler's totient φ(31170) = 8304 numbers up to 31170 share no factor with it.
- 4
The digits of 31170 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31170 = 2 \times 3 \times 5 \times 1039 \]
31170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74880 |
| Euler totient φ(n) | 8304 |
| Square | 971568900 |
| Cube | 30283802613000 |
| Square root | 176.550276 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.117 × |
31170 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and seventy |
| Binary (base 2) | 111100111000010 |
| Octal (base 8) | 74702 |
| Hexadecimal (base 16) | 79C2 |
| Base 3 | 1120202110 |
| As time | 31170 seconds = 8 h 39 min 30 s |
Is 31170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31170 ÷ 2 = 15585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31170 ÷ 3 = 10390) | 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 (31170 ÷ 5 = 6234) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31170 ÷ 6 = 5195) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31170 ÷ 10 = 3117) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31170 a prime number?
No. 31170 = 2 × 3 × 5 × 1039, so it is divisible by 2.
What are the factors of 31170?
1, 2, 3, 5, 6, 10, 15, 30, 1039, 2078, 3117, 5195, 6234, 10390, 15585, 31170.
What is 31170 in binary?
111100111000010 (hexadecimal 79C2, octal 74702).
What is the square root of 31170?
About 176.5503.
Is 31170 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31170?
It is a composite number with 16 divisors.