2⁷ × 3 × 5 × 29

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 183,600

Proper Divisor Sum 127,920

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #55673 ← → #55681

Radix Representation

Decimal	55680
Binary	1101100110000000 (16 bits)
Octal	0o154600
Hexadecimal	0xD980

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1,160 1,392 1,740 1,856 1,920 2,320 2,784 3,480 3,712 4,640 5,568 6,960 9,280 11,136

Collatz Trajectory (34 steps to reach 1)

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

55,680 27,840 13,920 6,960 3,480 1,740 870 435 1,306 653 1,960 980 490 245 736 368 184 92 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 #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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