2⁵ × 5³ × 7

Prime Factor Structure

Factorization String 2^5 × 5^3 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 78,624

Proper Divisor Sum 50,624

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #27997 ← → #28001

Radix Representation

Decimal	28000
Binary	110110101100000 (15 bits)
Octal	0o66540
Hexadecimal	0x6D60

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1,000 1,120 1,400 1,750 2,000 2,800 3,500 4,000 5,600 7,000 14,000 28,000

Collatz Trajectory (33 steps to reach 1)

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

28,000 14,000 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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