2⁴ × 3² × 5 × 7²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 137,826

Proper Divisor Sum 102,546

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #35279 ← → #35281

Radix Representation

Decimal	35280
Binary	1000100111010000 (16 bits)
Octal	0o104720
Hexadecimal	0x89D0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 98 105 112 120 126 140 144 147 168 180 196 210 240 245 252 280 294 315 336 360 392 420 441 490 504

Collatz Trajectory (49 steps to reach 1)

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

35,280 17,640 8,820 4,410 2,205 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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