2³ × 3⁵ × 7 × 59

Prime Factor Structure

Factorization String 2^3 × 3^5 × 7 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,620,800

Proper Divisor Sum 1,817,928

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #802831 ← → #802873

Radix Representation

Decimal	802872
Binary	11000100000000111000 (20 bits)
Octal	0o3040070
Hexadecimal	0xC4038

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 81 84 108 118 126 162 168 177 189 216 236 243 252 324 354 378 413 472 486 504 531 567 648 708 756 826 972 1,062 1,134 1,239 1,416 1,512 1,593 1,652 1,701 1,944 2,124 2,268

Collatz Trajectory (162 steps to reach 1)

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

802,872 401,436 200,718 100,359 301,078 150,539 451,618 225,809 677,428 338,714 169,357 508,072 254,036 127,018 63,509 190,528 95,264 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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