6,782,094

2 × 3² × 11 × 34253

6,782,094 has digital root 9. The neighboring primes are 6782093 and 6782123; its proper-divisor sum differs from the starting integer by 2,466,684.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 34253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,030,872

Proper Divisor Sum 9,248,778

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6782093 ← → #6782123

Radix Representation

Decimal	6782094
Binary	11001110111110010001110 (23 bits)
Octal	0o31676216
Hexadecimal	0x677C8E

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 34,253 68,506 102,759 205,518 308,277 376,783 616,554 753,566 1,130,349 2,260,698 3,391,047 6,782,094

Collatz Trajectory (134 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,782,094 3,391,047 10,173,142 5,086,571 15,259,714 7,629,857 22,889,572 11,444,786 5,722,393 17,167,180 8,583,590 4,291,795 12,875,386 6,437,693 19,313,080 9,656,540 4,828,270 2,414,135 7,242,406 3,621,203 10,863,610 5,431,805 16,295,416 8,147,708 4,073,854 2,036,927 6,110,782 3,055,391 9,166,174 4,583,087 13,749,262 6,874,631 20,623,894 10,311,947 30,935,842 15,467,921 46,403,764 23,201,882 11,600,941 34,802,824 17,401,412 8,700,706 4,350,353 13,051,060 6,525,530 3,262,765 9,788,296 4,894,148 2,447,074 1,223,537 3,670,612 1,835,306 917,653 2,752,960 1,376,480 688,240 344,120 172,060 86,030 43,015

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