2⁶ × 3 × 5 × 41

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 128,016

Proper Divisor Sum 88,656

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #39359 ← → #39367

Radix Representation

Decimal	39360
Binary	1001100111000000 (16 bits)
Octal	0o114700
Hexadecimal	0x99C0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1,230 1,312 1,640 1,968 2,460 2,624 3,280 3,936 4,920 6,560 7,872 9,840 13,120 19,680 39,360

Collatz Trajectory (75 steps to reach 1)

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

39,360 19,680 9,840 4,920 2,460 1,230 615 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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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