2⁵ × 3² × 5 × 7²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 280,098

Proper Divisor Sum 209,538

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #70549 ← → #70571

Radix Representation

Decimal	70560
Binary	10001001110100000 (17 bits)
Octal	0o211640
Hexadecimal	0x113A0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 224 240 245 252 280 288 294 315 336 360

Collatz Trajectory (50 steps to reach 1)

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

70,560 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 #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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