2¹⁰ × 3 × 5

Prime Factor Structure

Factorization String 2^10 × 3 × 5

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 44

Divisor Sum (σ) 49,128

Proper Divisor Sum 33,768

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #15359 ← → #15361

Radix Representation

Decimal	15360
Binary	11110000000000 (14 bits)
Octal	0o36000
Hexadecimal	0x3C00

Divisor Catalog (44)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1,024 1,280 1,536 1,920 2,560 3,072 3,840 5,120 7,680 15,360

Collatz Trajectory (27 steps to reach 1)

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

15,360 7,680 3,840 1,920 960 480 240 120 60 30 15 46 23 70 35 106 53 160 80 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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