2⁴ × 5² × 7 × 13

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 107,632

Proper Divisor Sum 71,232

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #36389 ← → #36433

Radix Representation

Decimal	36400
Binary	1000111000110000 (16 bits)
Octal	0o107060
Hexadecimal	0x8E30

Divisor Catalog (60)

1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1,040 1,300 1,400 1,456 1,820 2,275 2,600 2,800 3,640 4,550 5,200 7,280 9,100 18,200 36,400

Collatz Trajectory (23 steps to reach 1)

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

36,400 18,200 9,100 4,550 2,275 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 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 #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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