The number 82677
82677 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 127. Divisors (16): 1, 3, 7, 21, 31, 93, 127, 217, 381, 651, 889, 2667, 3937, 11811, 27559, 82677.
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How to work it out
- 1
82677 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82677 is composite. Its prime factorisation is
- 3
The divisors add up to 131072; without 82677 itself that is 48395, so 82677 is deficient (48395 is less than 82677). Euler's totient φ(82677) = 45360 numbers up to 82677 share no factor with it.
- 4
The digits of 82677 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82677 = 3 \times 7 \times 31 \times 127 \]
82677 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131072 |
| Euler totient φ(n) | 45360 |
| Square | 6835486329 |
| Cube | 565137503222733 |
| Square root | 287.536085 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2677 × |
82677 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand six hundred and seventy-seven |
| Binary (base 2) | 10100001011110101 |
| Octal (base 8) | 241365 |
| Hexadecimal (base 16) | 142F5 |
| Base 3 | 11012102010 |
| As time | 82677 seconds = 22 h 57 min 57 s |
Is 82677 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 (82677 ÷ 3 = 27559) | 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 | Yes (82677 ÷ 7 = 11811) | 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 5) | 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 | No (remainder 1) | 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 82677 a prime number?
No. 82677 = 3 × 7 × 31 × 127, so it is divisible by 3.
What are the factors of 82677?
1, 3, 7, 21, 31, 93, 127, 217, 381, 651, 889, 2667, 3937, 11811, 27559, 82677.
What is 82677 in binary?
10100001011110101 (hexadecimal 142F5, octal 241365).
What is the square root of 82677?
About 287.5361.
Is 82677 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 82677?
It is a composite number with 16 divisors.