The number 71310
71310 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2377. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655, 71310.
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How to work it out
- 1
71310 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71310 is composite. Its prime factorisation is
- 3
The divisors add up to 171216; without 71310 itself that is 99906, so 71310 is abundant (99906 is more than 71310). Euler's totient φ(71310) = 19008 numbers up to 71310 share no factor with it.
- 4
The digits of 71310 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 324 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71310 = 2 \times 3 \times 5 \times 2377 \]
71310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171216 |
| Euler totient φ(n) | 19008 |
| Square | 5085116100 |
| Cube | 362619629091000 |
| Square root | 267.039323 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 324 |
| Scientific notation | 7.131 × |
71310 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and ten |
| Binary (base 2) | 10001011010001110 |
| Octal (base 8) | 213216 |
| Hexadecimal (base 16) | 1168E |
| Base 3 | 10121211010 |
| As time | 71310 seconds = 19 h 48 min 30 s |
Is 71310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71310 ÷ 2 = 35655) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71310 ÷ 3 = 23770) | 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 (71310 ÷ 5 = 14262) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71310 ÷ 6 = 11885) | 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 6) | 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 (71310 ÷ 10 = 7131) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 71310 a prime number?
No. 71310 = 2 × 3 × 5 × 2377, so it is divisible by 2.
What are the factors of 71310?
1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655, 71310.
What is 71310 in binary?
10001011010001110 (hexadecimal 1168E, octal 213216).
What is the square root of 71310?
About 267.0393.
Is 71310 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 71310?
It is a composite number with 16 divisors.