2⁵ × 3² × 5 × 19

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 98,280

Proper Divisor Sum 70,920

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27337 ← → #27361

Radix Representation

Decimal	27360
Binary	110101011100000 (15 bits)
Octal	0o65340
Hexadecimal	0x6AE0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1,140 1,368 1,440 1,520

Collatz Trajectory (59 steps to reach 1)

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

27,360 13,680 6,840 3,420 1,710 855 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 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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