2⁶ × 3 × 5 × 7 × 13

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 341,376

Proper Divisor Sum 254,016

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #87359 ← → #87383

Radix Representation

Decimal	87360
Binary	10101010101000000 (17 bits)
Octal	0o252500
Hexadecimal	0x15540

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 130 140 156 160 168 182 192 195 208 210 224 240 260 273 280 312 320 336 364

Collatz Trajectory (19 steps to reach 1)

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

87,360 43,680 21,840 10,920 5,460 2,730 1,365 4,096 2,048 1,024 512 256 128 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 #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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