2⁵ × 3² × 5 × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 39,312

Proper Divisor Sum 29,232

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #10079 ← → #10091

Radix Representation

Decimal	10080
Binary	10011101100000 (14 bits)
Octal	0o23540
Hexadecimal	0x2760

Divisor Catalog (60 of 72)

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 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672

Collatz Trajectory (42 steps to reach 1)

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

10,080 5,040 2,520 1,260 630 315 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 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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