2⁵ × 3 × 5 × 11²

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 201,096

Proper Divisor Sum 143,016

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #58073 ← → #58099

Radix Representation

Decimal	58080
Binary	1110001011100000 (16 bits)
Octal	0o161340
Hexadecimal	0xE2E0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1,056 1,210 1,320 1,452 1,760 1,815 1,936 2,420 2,640 2,904

Collatz Trajectory (60 steps to reach 1)

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

58,080 29,040 14,520 7,260 3,630 1,815 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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