2⁶ × 3² × 5 × 61

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 614,172

Proper Divisor Sum 438,492

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #175673 ← → #175687

Radix Representation

Decimal	175680
Binary	101010111001000000 (18 bits)
Octal	0o527100
Hexadecimal	0x2AE40

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 64 72 80 90 96 120 122 144 160 180 183 192 240 244 288 305 320 360 366 480 488 549 576 610 720 732 915 960 976 1,098 1,220 1,440 1,464 1,830 1,952 2,196 2,440

Collatz Trajectory (46 steps to reach 1)

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

175,680 87,840 43,920 21,960 10,980 5,490 2,745 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 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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