2⁵ × 5 × 7 × 29

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 90,720

Proper Divisor Sum 58,240

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #32479 ← → #32491

Radix Representation

Decimal	32480
Binary	111111011100000 (15 bits)
Octal	0o77340
Hexadecimal	0x7EE0

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1,015 1,120 1,160 1,624 2,030 2,320 3,248 4,060 4,640 6,496 8,120 16,240 32,480

Collatz Trajectory (41 steps to reach 1)

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

32,480 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 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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