2¹⁰ × 3 × 5²

Prime Factor Structure

Factorization String 2^10 × 3 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 66

Divisor Sum (σ) 253,828

Proper Divisor Sum 177,028

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #76781 ← → #76801

Radix Representation

Decimal	76800
Binary	10010110000000000 (17 bits)
Octal	0o226000
Hexadecimal	0x12C00

Divisor Catalog (60 of 66)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1,024 1,200 1,280 1,536 1,600 1,920 2,400 2,560 3,072 3,200 3,840 4,800 5,120 6,400 7,680 9,600

Collatz Trajectory (24 steps to reach 1)

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

76,800 38,400 19,200 9,600 4,800 2,400 1,200 600 300 150 75 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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