The number 82137
82137 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 19 × 131. Divisors (16): 1, 3, 11, 19, 33, 57, 131, 209, 393, 627, 1441, 2489, 4323, 7467, 27379, 82137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82137 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 82137 itself that is 44583, so 82137 is deficient (44583 is less than 82137). Euler's totient φ(82137) = 46800 numbers up to 82137 share no factor with it.
- 4
The digits of 82137 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82137 = 3 \times 11 \times 19 \times 131 \]
82137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 46800 |
| Square | 6746486769 |
| Cube | 554136183745353 |
| Square root | 286.595534 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.2137 × |
82137 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and thirty-seven |
| Binary (base 2) | 10100000011011001 |
| Octal (base 8) | 240331 |
| Hexadecimal (base 16) | 140D9 |
| Base 3 | 11011200010 |
| As time | 82137 seconds = 22 h 48 min 57 s |
Is 82137 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82137 ÷ 3 = 27379) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (82137 ÷ 11 = 7467) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82137 a prime number?
No. 82137 = 3 × 11 × 19 × 131, so it is divisible by 3.
What are the factors of 82137?
1, 3, 11, 19, 33, 57, 131, 209, 393, 627, 1441, 2489, 4323, 7467, 27379, 82137.
What is 82137 in binary?
10100000011011001 (hexadecimal 140D9, octal 240331).
What is the square root of 82137?
About 286.5955.
Is 82137 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82137?
It is a composite number with 16 divisors.