2⁵ × 3² × 7 × 43

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 288,288

Proper Divisor Sum 201,600

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #86677 ← → #86689

Radix Representation

Decimal	86688
Binary	10101001010100000 (17 bits)
Octal	0o251240
Hexadecimal	0x152A0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1,008 1,032 1,204 1,376 1,548 1,806 2,016 2,064 2,408 2,709 3,096 3,612 4,128

Collatz Trajectory (58 steps to reach 1)

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

86,688 43,344 21,672 10,836 5,418 2,709 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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