The number 72182
72182 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 193. Divisors (16): 1, 2, 11, 17, 22, 34, 187, 193, 374, 386, 2123, 3281, 4246, 6562, 36091, 72182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72182 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72182 is composite. Its prime factorisation is
- 3
The divisors add up to 125712; without 72182 itself that is 53530, so 72182 is deficient (53530 is less than 72182). Euler's totient φ(72182) = 30720 numbers up to 72182 share no factor with it.
- 4
The digits of 72182 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72182 = 2 \times 11 \times 17 \times 193 \]
72182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 125712 |
| Euler totient φ(n) | 30720 |
| Square | 5210241124 |
| Cube | 376085624812568 |
| Square root | 268.667080 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.2182 × |
72182 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and eighty-two |
| Binary (base 2) | 10001100111110110 |
| Octal (base 8) | 214766 |
| Hexadecimal (base 16) | 119F6 |
| Base 3 | 10200000102 |
| As time | 72182 seconds = 20 h 3 min 2 s |
Is 72182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72182 ÷ 2 = 36091) | 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 | No (remainder 5) | 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 2) | 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 | Yes (72182 ÷ 11 = 6562) | 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 72182 a prime number?
No. 72182 = 2 × 11 × 17 × 193, so it is divisible by 2.
What are the factors of 72182?
1, 2, 11, 17, 22, 34, 187, 193, 374, 386, 2123, 3281, 4246, 6562, 36091, 72182.
What is 72182 in binary?
10001100111110110 (hexadecimal 119F6, octal 214766).
What is the square root of 72182?
About 268.6671.
Is 72182 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72182?
It is a composite number with 16 divisors.