The number 71162
71162 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 13 × 17 × 23. Divisors (32): 1, 2, 7, 13, 14, 17, 23, 26, 34, 46, 91, 119, 161, 182, 221, 238 … 71162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71162: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
71162 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 71162 itself that is 73990, so 71162 is abundant (73990 is more than 71162). Euler's totient φ(71162) = 25344 numbers up to 71162 share no factor with it.
- 4
The digits of 71162 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71162 = 2 \times 7 \times 13 \times 17 \times 23 \]
71162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 25344 |
| Square | 5064030244 |
| Cube | 360366520223528 |
| Square root | 266.762066 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1162 × |
71162 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and sixty-two |
| Binary (base 2) | 10001010111111010 |
| Octal (base 8) | 212772 |
| Hexadecimal (base 16) | 115FA |
| Base 3 | 10121121122 |
| As time | 71162 seconds = 19 h 46 min 2 s |
Is 71162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71162 ÷ 2 = 35581) | 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 | No (remainder 2) | 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 | Yes (71162 ÷ 7 = 10166) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 71162 a prime number?
No. 71162 = 2 × 7 × 13 × 17 × 23, so it is divisible by 2.
What are the factors of 71162?
1, 2, 7, 13, 14, 17, 23, 26, 34, 46, 91, 119, 161, 182, 221, 238, 299, 322, 391, 442, 598, 782, 1547, 2093, 2737, 3094, 4186, 5083, 5474, 10166, 35581, 71162.
What is 71162 in binary?
10001010111111010 (hexadecimal 115FA, octal 212772).
What is the square root of 71162?
About 266.7621.
Is 71162 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71162?
71162 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.