2⁹ × 3 × 5² × 7² × 43

Prime Factor Structure

Factorization String 2^9 × 3 × 5^2 × 7^2 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 360

Divisor Sum (σ) 318,144,816

Proper Divisor Sum 237,236,016

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #80908771 ← → #80908801

Radix Representation

Decimal	80908800
Binary	100110100101001001000000000 (27 bits)
Octal	0o464511000
Hexadecimal	0x4D29200

Divisor Catalog (60 of 360)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 49 50 56 60 64 70 75 80 84 86 96 98 100 105 112 120 128 129 140 147 150 160 168 172 175 192 196 200 210 215 224 240 245 256 258

Collatz Trajectory (109 steps to reach 1)

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

80,908,800 40,454,400 20,227,200 10,113,600 5,056,800 2,528,400 1,264,200 632,100 316,050 158,025 474,076 237,038 118,519 355,558 177,779 533,338 266,669 800,008 400,004 200,002 100,001 300,004 150,002 75,001 225,004 112,502 56,251 168,754 84,377 253,132 126,566 63,283 189,850 94,925 284,776 142,388 71,194 35,597 106,792 53,396 26,698 13,349 40,048 20,024 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377

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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