2³ × 3⁵ × 5²

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 169,260

Proper Divisor Sum 120,660

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #48593 ← → #48611

Radix Representation

Decimal	48600
Binary	1011110111011000 (16 bits)
Octal	0o136730
Hexadecimal	0xBDD8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1,080 1,215 1,350 1,620 1,800 1,944 2,025 2,430

Collatz Trajectory (65 steps to reach 1)

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

48,600 24,300 12,150 6,075 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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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