2⁵ × 3 × 5 × 13 × 29

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 635,040

Proper Divisor Sum 454,080

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #180959 ← → #181001

Radix Representation

Decimal	180960
Binary	101100001011100000 (18 bits)
Octal	0o541340
Hexadecimal	0x2C2E0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 65 78 80 87 96 104 116 120 130 145 156 160 174 195 208 232 240 260 290 312 348 377 390 416 435 464 480 520 580 624 696 754 780 870 928 1,040

Collatz Trajectory (116 steps to reach 1)

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

180,960 90,480 45,240 22,620 11,310 5,655 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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