The number 71142
71142 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 71 × 167. Divisors (16): 1, 2, 3, 6, 71, 142, 167, 213, 334, 426, 501, 1002, 11857, 23714, 35571, 71142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71142 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 71142 itself that is 74010, so 71142 is abundant (74010 is more than 71142). Euler's totient φ(71142) = 23240 numbers up to 71142 share no factor with it.
- 4
The digits of 71142 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71142 = 2 \times 3 \times 71 \times 167 \]
71142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 23240 |
| Square | 5061184164 |
| Cube | 360062763795288 |
| Square root | 266.724577 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.1142 × |
71142 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and forty-two |
| Binary (base 2) | 10001010111100110 |
| Octal (base 8) | 212746 |
| Hexadecimal (base 16) | 115E6 |
| Base 3 | 10121120220 |
| As time | 71142 seconds = 19 h 45 min 42 s |
Is 71142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71142 ÷ 2 = 35571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71142 ÷ 3 = 23714) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71142 ÷ 6 = 11857) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 71142 a prime number?
No. 71142 = 2 × 3 × 71 × 167, so it is divisible by 2.
What are the factors of 71142?
1, 2, 3, 6, 71, 142, 167, 213, 334, 426, 501, 1002, 11857, 23714, 35571, 71142.
What is 71142 in binary?
10001010111100110 (hexadecimal 115E6, octal 212746).
What is the square root of 71142?
About 266.7246.
Is 71142 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71142?
It is a composite number with 16 divisors.